Sibe Mardešić

Sibe Mardešić (June 20, 1927- June 18, 2016) was a Croatian mathematician.

Life and education

Sibe Mardešić was born in June 1927, in Bergedorf (near Hamburg, Germany), where his parents temporarily resided before moving to Chile. From that point on they returned back to Split, where he completed elementary school and high school. Soon after the World War II he went to Zagreb to study mathematics. After graduation he took a job of an assistant at the Department of Mathematics of the University of Zagreb where he stayed all the way until his retirement in 1991.^[1] He was a full member of Croatian Academy of Arts and Sciences, a corresponding member of Slovenian Academy of Sciences and Arts and a Fellow of American Mathematical Society.^[2][3][4]

Work

Mardešić was a topologist who worked in all main branches of topology having published 148 research papers, 40 professional articles and 18 books. With Jack Segal, he developed an alternate approach to shape theory using inverse systems method of ANRs generalizing the Borsuk's shape theory to include all compact Hausdorff's spaces, independently of Tim Porter and Włodzimierz Holsztyński. Later he extended Holsztyński's theory for compact Hausdorff spaces for all topological spaces. He introduced the first factorization theorem in dimension theory, the Mardesic factorization theorem. With P. Papić he introduced the notion of feebly compact spaces.

He died on June 18, 2016 in Zagreb.

References

1. http://web.math.pmf.unizg.hr/glasnik/vol_42/mardesic.html
2. http://info.hazu.hr/hr/clanovi_akademije/osobne_stranice/sibe_mardesic
3. http://www.sazu.si/o-sazu/clani/sibe-mardesic.html
4. http://www.ams.org/profession/fellows-list-institution

Selected publications

• S. Mardesic; P. Papic (1955). "Sur les espaces dont toute transformation réelle continue est bornée". Hrvatsko Prirodno Društvo. Glasnik Mat.-Fiz. Astron. 10: 225–232.
• Sibe Mardešić (1960). "On covering dimension and inverse limits of compact spaces". Illinois Journal of Mathematics. 4 (2): 278–291.
• Sibe Mardešić; Jack Segal (1963). "e-mappings onto polyhedra". Transactions of the American Mathematical Society. doi:10.1090/s0002-9947-1963-0158367-x.
• Sibe Mardešić; Jack Segal (1970). "Movable compacta and ANR-systems". Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 18: 649–654.
• Sibe Mardešić; Jack Segal (1971). "Shapes of compacta and ANR-systems". Fundamenta Mathematicae. 72 (1): 41–59.
• Sibe Mardešić (1973). "Shapes for topological spaces". General Topology and its Applications. 3 (3): 265–282. doi:10.1016/0016-660X(72)90018-9.
• S. Mardesic (1978). "Shape theory". Proceedings of the International Congress of Mathematicians.
• S. Mardesic; J. Segal (1982). "Shape theory". Elsevier.