Ryszard Engelking Explained

Ryszard Engelking (16 November 1935 – 16 November 2023) was a Polish mathematician. He was working mainly on general topology^[1] and dimension theory. He is the author of several influential monographs in this field. The 1989 edition of his General Topology is nowadays a standard reference for topology.^[2] Engelking died on 16 November 2023, his 88th birthday.^[3]

Scientific work

Apart from his books, Ryszard Engelking is known, among other things, for a generalization to an arbitrary topological space of the "Alexandroff double circle",^{[4] [5]} for works on completely metrizable spaces, suborderable spaces and generalized ordered spaces.^[6] The Engelking–Karlowicz theorem, proved together with Monica Karlowicz, is a statement about the existence of a family of functions from

2 ^{\mu} to \mu with topological^[7] and set-theoretical^[8] applications.

Books

Engelking's books include:

• Book: R. Engelking . Outline of General Topology . North-Holland, Amsterdam . 1968 . translated from Polish.
• Book: R. Engelking . General Topology . PWN, Warsaw . 1977 .
• Book: R. Engelking . Dimension Theory . North-Holland, Amsterdam . 1978 .
• Book: R. Engelking . General Topology. Revised and completed edition . Heldermann Verlag, Berlin . 1989 . 3-88538-006-4 .
• Book: R. Engelking . Theory of Dimensions: Finite and Infinite . Heldermann Verlag, Berlin . 1995 . 3-88538-010-2 .

Notes and References

1. Book: Instytut Historii Nauki, Oświaty i Techniki (Polska Akademia Nauki. Kwartalnik historii nauki i techniki. 12 June 2011. 1980. Panstwowe Wydawnictwo Naukowe.. pl. 704.
2. K.P. Hart, J.-I. Nagata and J.E. VaughanEditors, Encyclopedia of general Topology, Elsevier 2003, p. vii
3. Web site: Ryszard Engelking, Warszawa, 20.11.2023 - nekrolog . 21 November 2023 . nekrologi.wyborcza.pl.
4. Haruto Ohta, Special Spaces, Chapter b-13 in Encyclopedia of general Topology.
5. R. Engelking, On the double circumference of Alexandroff, Bull. Acad. Polon. Sci. 16 (1968), 629–634.
6. Encyclopedia of general Topology, pp. 204, 206, 252 and 328
7. Ryszard Engelking and Monica Karlowicz, Some theorems of set theory and their topological consequences, Fundamenta Mathematicae, 57, 275–285, 1965.
8. Uri Abraham and Menachem Magidor, Cardinal Arithmetic, Ch. 14 in Handbook of Set Theory (Matthew Foreman, Akihiro Kanamori,Editors) pp. 1223, 1226.