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Stefan Kempisty (1892–1940). (English) Zbl 1417.01011

Summary: Stefan Kempisty was a Polish mathematician, working on the theory of real functions, set theory, integrals, interval functions and the theory of surface area. In 1919 he defended his Ph.D. thesis, On semi-continuous functions, at the Jagiellonian University in Cracow under the supervision of Kazimierz Żorawski. In December 1924 he did his habilitation at the University of Warsaw and continued his work at the Stefan Batory University in Vilnius. Kempisty published over forty scientific papers, three textbooks and one monograph. Kempisty’s name in mathematics appears in connection with the definition of quasi-continuous functions, different kinds of continuity of functions of several variables, the classification of Baire, Young and Sierpiński functions, interval functions, and Denjoy or Burkill integrals.
This paper is prepared for a wide range of readers. It is an abridged version of the article written in Polish by the same authors (cf. [“Stefan Kempisty (1892–1940)” (Polish), Antiq. Math. 11, 61–111 (2017; doi:10.14708/am.v11i0.1247))]), where can be found more detailed information.

MSC:

01A60 History of mathematics in the 20th century
01A70 Biographies, obituaries, personalia, bibliographies
26-03 History of real functions
26A21 Classification of real functions; Baire classification of sets and functions
28B15 Set functions, measures and integrals with values in ordered spaces
28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections

Biographic References:

Kempisty, Stefan
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References:

[1] Archive, 1918/1919. Stefan Jan Kempisty. In: Archive of the Jagiellonian University (Archiwum Uniwersytetu Jagiellońskiego), WF II 504, including: handwritten biography from 4 July 1918; evaluation of the doctoral dissertation written by S. Zaremba from 1918 (5 pages); exam protocols for a doctorate from 11 July 1919 (philosophy), and 15 July 1919 (mathematics and geophysics); doctoral diploma from 1919 (in Polish).; Archive, 1918/1919. Stefan Jan Kempisty. In: Archive of the Jagiellonian University (Archiwum Uniwersytetu Jagiellońskiego), WF II 504, including: handwritten biography from 4 July 1918; evaluation of the doctoral dissertation written by S. Zaremba from 1918 (5 pages); exam protocols for a doctorate from 11 July 1919 (philosophy), and 15 July 1919 (mathematics and geophysics); doctoral diploma from 1919 (in Polish).
[2] Archive, 1919/1937. Stefan Jan Kempisty. Sources in The Archives of Modern Records (Archiwum Akt Nowych) in Warsaw, MWRiOP, Del. Rz., sig. 202/I-51, 202/III-196, MWRiOP, sig. 24. Also MWRiOP, sig. 3298, 60 pages including: CV and a list of publications from 12 October 1919; handwritten biography from 2 December 1924 (one page); biography from 1935 (2 pages), a list of publications (2 pages) and a report from the Commission on the ordinary professor (5 pages) from 1935; a copy of the nomination for ordinary professor from 4 September 1937 (in Polish).; Archive, 1919/1937. Stefan Jan Kempisty. Sources in The Archives of Modern Records (Archiwum Akt Nowych) in Warsaw, MWRiOP, Del. Rz., sig. 202/I-51, 202/III-196, MWRiOP, sig. 24. Also MWRiOP, sig. 3298, 60 pages including: CV and a list of publications from 12 October 1919; handwritten biography from 2 December 1924 (one page); biography from 1935 (2 pages), a list of publications (2 pages) and a report from the Commission on the ordinary professor (5 pages) from 1935; a copy of the nomination for ordinary professor from 4 September 1937 (in Polish).
[3] Archive, 1936. Stefan Jan Kempisty. The Lithuanian Central State Archive, Faculty of Mathematics and Natural Sciences. Manuscript 175.B_6.58. In the Przeniosło book [Pr11]: Litewskie Centralne Archiwum Państwowe w Wilnie (The Lithuanian Central State Archive): USB fond 175, ap. 6VIIB, 200, 209, b. 239, k. 10, 18-21, 26, 29, 43, 45, 46, 49-51, 61; ap. 14, b. 154, k. 2, 2v, 4, 5, 10, 18, 19. Sprawozdanie z podróży naukowej Prof. Dr. Stefana Kempistego; Archive, 1936. Stefan Jan Kempisty. The Lithuanian Central State Archive, Faculty of Mathematics and Natural Sciences. Manuscript 175.B_6.58. In the Przeniosło book [Pr11]: Litewskie Centralne Archiwum Państwowe w Wilnie (The Lithuanian Central State Archive): USB fond 175, ap. 6VIIB, 200, 209, b. 239, k. 10, 18-21, 26, 29, 43, 45, 46, 49-51, 61; ap. 14, b. 154, k. 2, 2v, 4, 5, 10, 18, 19. Sprawozdanie z podróży naukowej Prof. Dr. Stefana Kempistego
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[19] Jeśmanowicz, L., Wspomnienia o matematykach wileńskich, Wiad. Mat. (2), 12, 2, 309-319 (1971), [Kempisty, pp. 309-314]
[20] Jóźwik, I.; Maligranda, L.; Terepeta, M., Stefan Kempisty (1892-1940), Antiquitates Mathematicae, 11, 61-111 (2017), (in Polish) · Zbl 1431.01040
[21] Jubileusz 65-lecia działalności naukowej, pedagogicznej i społecznej profesora Samuela Dicksteina, Warszawa, 3. X. 1937. III Polski Zjazd Matematyczny, Staraniem Komitetu Jubileuszowego, Warszawa 1938 (65th Anniversary of Scientific, Pedagogical and Social Activity of Professor Samuel Dickstein, Warsaw, 3 October 1937), 3rd Polish Mathematical Congress, issued by the Jubilee Committee, Warsaw, 1938, 50 pp.+photo (in Polish).; Jubileusz 65-lecia działalności naukowej, pedagogicznej i społecznej profesora Samuela Dicksteina, Warszawa, 3. X. 1937. III Polski Zjazd Matematyczny, Staraniem Komitetu Jubileuszowego, Warszawa 1938 (65th Anniversary of Scientific, Pedagogical and Social Activity of Professor Samuel Dickstein, Warsaw, 3 October 1937), 3rd Polish Mathematical Congress, issued by the Jubilee Committee, Warsaw, 1938, 50 pp.+photo (in Polish).
[22] Kempisty, S., Sur les séries itérées des fonctions continues, Fund. Math., 2, 64-73 (1921) · JFM 48.0276.04
[23] Kempisty, S., Sur l’approximation des fonctions de première classe, Fund. Math., 2, 131-135 (1921) · JFM 48.0276.05
[24] Kempisty, S., Sur les fonctions approximativement discontinues, Fund. Math., 6, 6-8 (1924) · JFM 50.0186.03
[25] Kempisty, S., Sur les fonctions dérivées bornées, Ann. Soc. Polon. Math., 3, 88-91 (1925) · JFM 51.0207.05
[26] Kempisty, S., Sur les limites approximatives (asymptotiques), C. R. Acad. Sci. Paris, 180, 642-645 (1925) · JFM 51.0201.08
[27] Kempisty, S., O funkcjach pochodnych ograniczonych, Dodatek do Roczników Polskiego Towarzystwa Matematycznego, 2, 1-27 (1925) · JFM 51.0215.07
[28] Kempisty, S., Sur les dérivées de la fonction d’ensemble, C. R. Acad. Sci. Paris, 182, 1205-1207 (1926) · JFM 52.0252.03
[29] Kempisty, S., Sur l’intégrale (A) de M. Denjoy, C. R. Acad. Sci. Paris, 185, 749-751 (1927) · JFM 53.0228.01
[30] Kempisty, S., O całkach funkcji przedziału. Sur les intégrales d’une fonction d’intervalle, (Księga Pamiątkowa Pierwszego Polskiego Zjazdu Matematycznego, Lwów, 7-10.IX.1927 (1929), PTM: PTM Kraków), 93-97, 1929 (in French); reprinted by Polish Mathematical Society (PTM), Warszawa, 2009
[31] Kempisty, S., Sur les fonctions semi-continues par rapport à chacune de deux variables, Fund. Math., 14, 237-241 (1929) · JFM 55.0145.05
[32] Kempisty, S., Sur l’intégrale (A) de M. Denjoy, C. R. Acad. Sci. Paris, 192, 1186-1189 (1931) · JFM 57.0296.01
[33] Kempisty, S., L’intégration des fonctions sommables, Ann. Soc. Polon. Math., 10, 1-11 (1931) · JFM 58.1059.02
[34] Kempisty, S., Sur les dérivées des fonctions des systèmes simples d’intervalles, Bull. Soc. Math. France, 60, 106-126 (1932) · JFM 58.0256.01
[35] Kempisty, S., Sur les fonctions quasicontinues, Fund. Math., 19, 184-197 (1932) · JFM 58.0246.01
[36] Kempisty, S., Sur la totalisation des fonctions de deux variables, C. R. Acad. Sci. Paris, 198, 2060-2062 (1934) · JFM 60.0215.01
[38] Kempisty, S., Sur les fonctions partiellement continues, Mathematica (Cluj), 9, 93-102 (1935) · JFM 61.1104.03
[39] Kempisty, S., Sur les operations de la topologie générale, Mathematica (Cluj), 10, 137-156 (1935) · JFM 61.1099.01
[40] Kempisty, S., Sur l’aire de la surface \(z = f(x, y)\), C. R. Acad. Sci. Paris, 202, 1138-1140 (1936) · JFM 62.0259.02
[41] Kempisty, S., Intégrale Denjoy-Stieltjes d’une function de deux variables, C. R. Acad. Sci. Paris, 202, 1241-1244 (1936) · JFM 62.0253.02
[42] Kempisty, S., Sur les fonctions absolument continues d’intervalle, Fund. Math., 27, 10-37 (1936) · JFM 62.0248.04
[43] Kempisty, S., Sur la méthode triangulaire du calcul de l’aire d’une surface courbe, Bull. Soc. Math. France, 64, 119-132 (1936) · JFM 62.0259.03
[44] Kempisty, S., Sur les fonctions absolument semi-continues, Fund. Math.. Fund. Math., Fund. Math., 30, 128-127 (1938), Errata · Zbl 0018.11401
[46] Kempisty, S., Fonctions d’intervalle non-additives, Actualities Scientifiquest Industrielle 824, Ensembles et Fonctions III (1939), Hermann & Cie: Hermann & Cie Paris, 62 pp · JFM 65.1175.01
[47] Kempisty, S., O funkcjach o wahaniu skończonem w sensie Tonelliego. Sur les fonctions à variation borné au sens de Tonelli, Bull. Sémin. Math. Univ. Wilno, 2, 13-21 (1939), (in French) · Zbl 0021.11501
[48] Kempisty, S., Sur l’aire des surfaces courbes continues, Fund. Math., 33, 34-41 (1945) · JFM 65.1179.02
[49] Lee, J. P.; Piotrowski, Z., On Kempisty’s generalized continuity, Rend. Circ. Mat. Palermo (2), 34, 3, 380-386 (1985/1986) · Zbl 0602.54012
[50] Lee, J. P.; Piotrowski, Z., Another note on Kempisty’s generalized continuity, Internat. J. Math. Math. Sci., 11, 4, 657-663 (1988) · Zbl 0674.54007
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[52] Martin, N. F.G., Quasi-continuous functions on product spaces, Duke Math. J., 28, 39-44 (1961) · Zbl 0100.18506
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[55] Medvedev, F., Scenes from the History of Real Functions (1991), Birkhäuser Verlag: Birkhäuser Verlag Basel · Zbl 0799.26001
[56] Mirmostafaee, A., Topological games and strong quasi-continuity, Banach J. Math. Anal., 5, 2, 131-137 (2011) · Zbl 1230.54015
[57] Morayne, M., Algebras of Borel measurable functions, Fund. Math., 141, 3, 229-242 (1992) · Zbl 0812.26004
[58] Mykhaylyuk, V. V., The Namioka property of KC-functions and Kempisty spaces, Topology Appl., 153, 14, 2455-2461 (2006) · Zbl 1100.54009
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[67] Sierpiński, W., Sur les fonctions développables en séries absolument convergentes de fonctions continues, Fund. Math., 2, 15-27 (1921), Reprint in: Wacław Sierpiński, Oeuvres Choisies, Tom II, PWN, Warszawa, 1975, pp. 347-357 · JFM 48.0276.01
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