Curriculum Vitae

Curriculum Vitae

TOMASZ NATKANIEC

office address:	home address:
Department of Mathematics	Myśliwska 25 C/3
Gdańsk University	PL-81-587 Gdynia, Poland
Wita Stwosza 57	phone: 66-00-573
PL-80-952 Gdańsk, Poland
phone: (58) 552-95-04
e-mail: mattn@math.univ.gda.pl
fax: (58) 341-49-14

Personal Information.

Born: September 22, 1957. Unmarried.

Areas of Research Interest.

Set Theoretic Analysis: Applications of Set Theory in Real Functions.
Real Analysis.
Set Theory.
Darboux like functions. Almost continuity.

Education.

Habilitation in Mathematics, Łódź University, speciality - Real Analysis, Łódź, Poland, 1993.(Dissertation: Almost Continuity.)
Ph.D. in Mathematics with Distinction, Łódź University, Łódź, Poland, 1985. (Dissertation: Sets of continuity and semicontinuity points of real functions.)
Master of Mathematics, Warsaw University, Warsaw, Poland, 1981.

Employment History.

Associate Professor (profesor nadzwyczajny), Gdańsk University, 1996-present.
Vice-Dean of the Department of Mathematics and Physics, 1997-1999.
Associate Professor, Pedagogical University of Bydgoszcz, 1994-1996.
Vice-Manager of the Mathematical Institute, Pedagogical University of Bydgoszcz, 1993-1996.
Tutor (adiunkt), Pedagogical University of Bydgoszcz, 1985-1994.
Assistant Professor (asystent), Pedagogical University of Bydgoszcz, Poland, 1982-1985.

Grants.

Algebraic structures generated by some families of maps, KBN Research Grant No 2 144 91 01 (1992-94), in the team of Prof. Z. Grande.
Set Theoretic Analysis, NSF Cooperative Research Grant INT-9600548 with its Polish part financed by KBN (1997-99).

Honors.

A prize of the (Polish) Minister of Sciences and Higher Education for Ph.D. Dissertation, 1986.
Prizes of Rector of the Pedagogical University of Bydgoszcz, in 1985, 1989, 1991, 1993 and 1995.

Professional Activities.

Supervisor of the Ph. D. Dissertation of J. Wesolowska, Sets of points of convergence of sequences of real functions, Gdansk University, Gdansk, Poland, 2001.
Supervisor of the Ph. D. Dissertation of K. Banaszewski, Functions continuous with respect to systems of paths, Łódź University, Łódź, Poland, 1996.
Supervisor of the Ph. D. Dissertation of D. Banaszewski, Additive Darboux like functions, Łódź University, Łódź, Poland, 1997.
Referee of Habilitation Thesis of Dr. Jacek Hejduk, Łódź University, Łódź, Poland, 1998.
Referee of Ph. D. Thesis of A. Kubiś, Łódź University, Łódź, Poland, 1996.
Referee of Ph. D. Thesis of M. Świątek, Łódź University, Łódź, Poland, 1997.
Referee of Ph. D. Thesis of M. Terepeta, Łódź University, Łódź, Poland, 1997.
Referee of Ph. D. Thesis of L. Bartłomiejczyk, Silesian University, Katowice, Poland, 2000.
Referee of research proposals for KBN. Referee for several professional journals.
Reviewer for the Zentralblatt fur Mathematik.

Invited talks.

Algebraic structures generated by some families of functions, UNED, Madrid 1989.
Sets of semicontinuity points of real functions, Complutense University, Madrid 1994.
Universal summands for some families of real functions, Auburn University, Auburn 1997; West Virginia University, Morgantown 1997. latex
Between Blumberg's Theorem and Sierpiński-Zygmund functions, Columbus State University, Columbus 1997. latex
Algebraic properties of the family of extendable functions, West Virginia University, Morgantown 1997; Columbus State University, Columbus 1997. latex
Darboux like functions. Old problems and new results, Columbus State University, Columbus 1999.
\omega_1 limits of sequences of real functions, West Virginia University, Morgantown 1999. latex

Conferences (with lectures).

Workshop on Set Theory and Applications to Topology, Ladek Zdroj, June 7-10, 2001. Abstract of talk (in latex)
Conference on Real Analysis, Leba, May 20-24, 2001. Abstract of talk (in latex)
The 16th Summer School on Real Functions Theory, Liptovsky Jan, September 3-8,2000. Abstract of talk (in latex)
The First Turkish International Conference on Topology and Its Applications, Istambul, August 2-5,2000. Abstract of talk (in latex)
Summer Symposium in Real Analysis XXIV, Denton, USA, May 24-27, 2000. Abstract of talk (in latex) Photos Ondrej's photos
Summer Symposium in Real Analysis XXIII, Lodz, Poland, June 21-26, 1999. (invited speaker). Abstract of talk (in latex)
Workshop on Set Theory and Applications to Topology and Real Analysis, Gdansk 99, June 17-19, 1999, (co-organizer). Abstract Photos
13th Spring Miniconference on Real Analysis, Auburn, 5-6.03.1999. Photos
Workshop on Set Theory and Applications to Real Analysis and Topology, Wieżyca 1998 (co-organizer).
Summer School on Real Functions Theory, Liptovsky Jan, Slovakia, 1998 (invited speaker). Photos
926th AMS Meeting, Atlanta, USA, 17-19.10.1997.
Summer School on Real Functions Theory, Liptovsky Jan, Slovakia, 1996.
Summer Symposium in Real Analysis 1995, Erice, Italy, 1995;
Conference on Real Analysis and Polish-USA Workshop, Lodz, 1994;
Summer School on Real Functions Theory, Liptovsky Jan, Slovakia, 1994;
Konfrontacje Matematyczne, Zielona Góra, 1994.
Winter School on Abstract Analysis, Podebrady, Czech Republic, 1993;
Set Theoretic Topology, Katowice, 1993;
Summer School on Real Functions Theory, Dubnik, Czecho-Slovakia, 1992;
Summer Symposium in Real Analysis 1991, Smolenice, Czechoslovakia, 1991;
Semester in Banach Center on Real Functions, Warszawa 1989;
Summer School on Real Functions Theory, Dubnik, Czechoslovakia 1988;
Summer School on Real Functions Theory, Richnava, Czechoslovakia, 1986;
Summer School on Real Functions Theory, Kamenny Mlyn, Czechoslovakia, 1984;
Real Functions, Bydgoszcz, 1983.

Books.

T. Natkaniec, Almost Continuity, Bydgoszcz 1992, 1-131.

Surveys.

T. Natkaniec, Almost Continuity, Real Anal. Exchange 17, 1991-92, 462-520. latex
R. Gibson, T. Natkaniec, Darboux like functions, Real Anal. Exchange 22, No. 2 (1996-97), 492-533. latex

Publications.

T. Natkaniec, Czarna magia?, Delta 5, 1976, 8-9.
T. Natkaniec, On ideals of the sets on the real line which contain the ideal of the sets of power less than $2^{\omega_{0}}$ , Problemy Mat. 5/6, 1983-84, 61-68.
T. Natkaniec, On semicontinuity points, Real Anal. Exchange 9, 1983-84, 215-232.
T. Natkaniec, On category projections of Cartesian products $A \times A$ , Real Anal. Exchange 10, 1984-85, 233-234.
T. Natkaniec, On qualitative semicontinuity points, Cas. pro Pest. Mat. 110, 1985, 337-342.
T. Natkaniec, On projections of planar sets, Real Anal. Exchange 11, 1985-86, 411-416.
T. Natkaniec, On ${\cal I}$ -continuity and ${\cal I}$ -semicontinuity points, Math. Slovaca 36, 1986, 297-312.
T. Natkaniec, Some multiplicative properties of sets of real numbers, Problemy Mat. 7, 1986, 47-51.
T. Natkaniec, On semicontinuity points. Fundamental theorems, Problemy Mat. 8, 1977, 17-31.
Z. Grande, T. Natkaniec, Lattices generated by $\tau$ quasi-continuous functions, Bull. Pol. Ac. Sci. 34, 1986, 525-530.
T. Natkaniec, The lattice generated by differentiable functions, Real Anal. Exchange 12, 1986-87, 247-252.
T. Natkaniec, Some remarks on category projections of planar sets, Real Anal. Exchange 12, 1986-87, 387-393.
A. Dogoński, T. Natkaniec, Proste przykłady krat generowanych przez pewne rodziny funkcji, Problemy Mat. 9, 1988, 123-137.
T. Natkaniec, On lattices generated by Darboux functions, Bull. Pol. Ac. Sci. 35, 1987, 549-552.
Z. Grande, T. Natkaniec, E. Strońska, Algebraic structures generated by d quasi-continuous functions, Bull. Pol. Ac. Sci. 35, 1987, 717-723.
T. Natkaniec, Two remarks on almost continuous functions, Problemy Mat. 10, 1988, 71-78.
T. Natkaniec, W. Orwat, Variations on products and quotients of Darboux functions, Real Anal. Exchange 15, 1989-90, 193-202.
T. Natkaniec, On ${\cal D}^{\ast \ast}$ -Darboux functions, Problemy Mat. 11. latex
T. Natkaniec, Products of quasi-continuous functions, Math. Slovaca 40, 1990, 401-405.
B. Kirchheim, T. Natkaniec, On universally bad Darboux functions, Real Anal. Exchange 16, 1990-91, 481-486.
J. Jastrzębski, J. Jędrzejewski, T. Natkaniec, Points of almost continuity of a real function, Real Anal. Exchange 16, 1990-91, 415-421.
J. Jastrzębski, J. Jędrzejewski, T. Natkaniec, On some subclasses of Darboux functions, Fund. Math. 138, 1991, 165-173.
T. Natkaniec, On compositions and products of almost continuous functions, Fund. Math. 139, 1991, 59-74.
Z. Grande, T. Natkaniec, On quasi-continuous bijections, Acta Math. Univ. Comenianae 60, 1991, 31-34. latex
T. Natkaniec, On the maximum and the minimum of quasi-continuous functions, Math. Slovaca 42, 1992, 103-110.
T. Natkaniec, On Cartesian products and diagonals of quasi-continuous and cliquish maps, Problemy Mat. 12. latex
B. Kirchheim, T. Natkaniec, Exceptional directions for Sierpiński's nonmeasurable sets, Fund. Math. 140, 1992, 237-245. latex
T. Natkaniec, On quasi-continuous functions having Darboux property, Math. Pannonica 3, 1992, 81-96.
Z. Grande, T. Natkaniec, On some topologies of O'Malley's type on plane, Real Anal. Exchange 18, 1992-93, 241-249. latex
T. Natkaniec, Products of Darboux functions, Real Anal. Exchange 18, 1992-93, 232-237. Errata, Real Anal. Exchange 18, 1992-93, 619. latex
T. Natkaniec, Arcwise almost continuous functions, Real Anal. Exchange 18, 1992-93, 508-532. latex
T. Natkaniec, On a problem concerning universally bad Darboux functions, Real Anal. Exchange 18, 1992-93, 471-476. latex
T. Natkaniec, On Grande's problem concerning ${\cal B}_{1}^{\ast}$ functions, Math. Slovaca 43, 1994, 455-457. latex
T. Natkaniec, On sums of Darboux functions, Acta Univ. Carolinae 34, No. 2, (1993), 107-111. latex
A. Maliszewski, T. Natkaniec, Almost continuous functions of two variables, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales 87, 1993, 396-404. latex
T. Natkaniec, On iterations of Darboux functions, Real Anal. Exchange 20, No. 1, (1994-95), 350-356. latex
T. Natkaniec, I. Recław, Cardinal invariants concerning functions, whose product is almost continuous, Real Anal. Exchange 20, No. 1, (1994-95), 281-286. latex
T. Natkaniec, On sets determined by limits of a real function, Zeszyty Nauk. Politech. Łódzkiej 27. The issue dedicated to the memory of Prof. T. Świątkowski, (1995), 95-107. latex
T. Natkaniec, Extendability and almost continuity, Real Anal. Exchange 21, No. 1. (1995-96), 349-355. latex
T. Natkaniec, New cardinal invariants in real analysis, Bull. Pol. Ac. Sci., 44, No. 2, (1996), 251-256. latex
M. Balcerzak, K. Ciesielski, T. Natkaniec, Sierpiński-Zygmund functions that are Darboux, almost continuous or have perfect road, Archive for Math. Logic 37(1) (1997), 29-35. latex
K. Ciesielski, T. Natkaniec, Algebraic properties of the class of Sierpiński-Zygmund functions, Topology Appl. 79 (1997), 75-99. latex
K. Banaszewski, T. Natkaniec, Sierpiński-Zygmund functions that have the Cantor intermediate value property, Real Anal. Exchange, 24, No. 2, (1998-99), 827-836. latex
T. Natkaniec, Some cardinal invariants in real analysis, Tatra Math. Publ., 14 (1998), 39-47. latex
A. Katafiasz, T. Natkaniec, A new variant of Blumberg's theorem, Real Anal. Exchange, 22, No. 2 (1996-97), 806-813. latex
K. Ciesielski, T. Natkaniec, Darboux like functions that are characterizable by images, preimages and associated sets, Real Anal. Exchange 23 (1997-98), 441-457. latex
J. Jastrzębski, T. Natkaniec, On sums and products of extendable functions, Real Anal. Exchange, 24, No. 2, (1998-99), 589-598. latex
T. Natkaniec, I. Recław, Universal summands for families of measurable functions, Acta Sc. Math. (Szeged) 64 (1998), 463-471. latex
K. Ciesielski, T. Natkaniec, On Sierpiński-Zygmund bijections and their inverses, Topology Proc. 22 (1997), 155-164. latex
K. Ciesielski, T. Natkaniec, J. Wojciechowski, Extending connectivity functions on ${\bf R}^n$ , Topology Appl. 112 (2001), 193-204. latex
K. Ciesielski, R. Gibson, T. Natkaniec, $\kappa$ -to-one Darboux-like functions, Real Anal. Exchange, 23 (1997-98), 671-687. 23 latex
R. Gibson, T. Natkaniec, Darboux like functions. Old problems and new results, Real Anal. Exchange, 24, No. 2, (1998-99), 487-496. latex
T. Natkaniec, J. Wesolowska, On convergence of $\omega_1$ sequences of real functions, Acta Math. Hungar. 90, No. 4, (2001), 349-366. latex
D. Fremlin, T. Natkaniec, I. Reclaw, Universally Kuratowski-Ulam spaces, Fund. Math. 165, (2000), 239-247. latex
T. Natkaniec, W. Wilczynski, Sums of periodic Darboux functions and measurability, to appear; latex

Abstracts of talks.

T. Natkaniec, On points of the approximate semicontinuity, Proceedings of the Conference on Real Functions, Bydgoszcz 1983, Problemy Mat. 7, 1986, 133-137.
T. Natkaniec, Algebraic structures generated by some families of functions, Disertaciones del Seminario de Matematicas Fundamentales, Universidad Nacional de Educación a Distancia 6, 1989, 1-10.
T. Natkaniec, Sets of continuity and semicontinuity points of real functions, Publicaciones del Departamento de Analisis Matematico, Facultad de Matematicas, Universidad Complutense 13, 1988-89, 114-125.
T. Natkaniec, On some problems concerning almost continuity, Real Anal. Exchange 17, 1991-92, 40-41.
T. Natkaniec, Fixed points and iterations of Darboux functions, Real Anal. Exchange 20, No. 2, (1994-95), 405. latex
Z. Grande, A. Maliszewski, T. Natkaniec, Some problems concerning almost continuous functions, Real Anal. Exchange 20, No. 2, (1994-95), 429-432. latex
T. Natkaniec, On sets determined by limits of a real function, Real Anal. Exchange 21, No. 1, (1995-96), 51-52. latex
R. Gibson, T. Natkaniec, Darboux like functions. Old problems and new results., Real Anal. Exchange, 24, No. 2, (1998-99), 487-496. latex
T. Natkaniec, Omega-1 limits of real functions, Real Anal. Exchange, 25, No. 1, (1999-00), 89-94.
T. Natkaniec, Universally Kuratowski-Ulam spaces, Real Anal. Exchange, to appear. latex

Colaborators during last years.

Marek Balcerzak (Technical University of Łódź);
Krzysztof Banaszewski (Pedagogical University of Bydgoszcz);
Krzysztof Ciesielski (West Virginia University, Morgantown, WV);
Richard Gibson (Columbus State University, Columbus, Georgia);
Zbigniew Grande (Pedagogical University of Bydgoszcz);
David Fremlin (University of Essex, England);
Jan Jastrzębski (Gdańsk University);
Jacek Jędrzejewski (Pedagogical University of Słupsk);
Aleksandra Katafiasz, (Pedagogical University of Bydgoszcz);
Bernd Kirchheim, (Max-Planck Institute for Math. and Sc., Leipzig, Germany);
Aleksander Maliszewski (Pedagogical University of Bydgoszcz);
Ireneusz Recław (Gdańsk University);
Jerzy Wojciechowski (West Virginia University, Morgantown, WV).