Zoltán Tibor Balogh

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Zoltán Tibor Balogh , called Zoli, (born December 7, 1953 in Debrecen , † June 19, 2002 in Oxford (Ohio) ) was a Hungarian-American mathematician who dealt with general topology .

He was the son of the mathematics professor Tibor Balogh at Kossuth University in Debrecen. His mother was a chemist and also a professor at the university. In 1972 he began studying mathematics in Debrecen with a diploma in 1977, where he specialized in topology and published his first work in 1976. In 1977 he received the Kato Renyi Prize of the Janos Bolyai Society and in 1979 the Geza Grünwald Prize. He continued his research at Kossuth University and received his doctorate in 1980 . In 1984 he was visiting professor at the University of Toronto and 1985 at Texas Tech University . 1986 to 1988 he was again in Debrecen as an assistant professor and in 1989he qualified as a professor at the Hungarian Academy of Sciences . In 1988 he was visiting professor at the University of Miami and in 1989 at the University of Wisconsin . In 1990 he became an associate professor at the University of Miami with a full professorship from 1994. He suffered from heart problems at an early age, had a heart attack at the age of 31 and a stroke in 1999 and died at only 48 years of age.

He solved some important open problems, such as the Moore-Mrowka problem in 1989, the Moore conjecture in the case of locally compact spaces in 1991, he constructed a new Dowker space in 1996 (first constructed by Mary Ellen Rudin in 1971) and solved the problem of in 1998 Keio Nagami. In 2001 he set the keystone in the affirmative solution of the Morita conjecture from Kiiti Morita , assuming only ZFC (Rudin and co-workers were only able to prove the second, essential part of the conjecture beforehand with additional assumptions).

He is not to be confused with Zoltan M. Balogh , a mathematics professor in Bern from Romania .

literature

  • Dennis Burke, Gary Gruenhage: Zoli. (PDF; 235 kB) In: Topology Proceedings. Volume 27, No. 1, 2003, pp. I-xxiii

Web links

Individual evidence

  1. ↑ By Stanisław G. Mrówka and his PhD student RC Moore, Notices AMS 1964
  2. ^ On compact Hausdorff spaces of countable tightness. In: Proceedings of the American Mathematical Society. Volume 105, 1989, pp. 755-764
  3. ^ On collectionwise normality of locally compact, normal spaces. In: Transactions of the American Mathematical Society. Volume 323, 1991, pp. 389-411
  4. ^ A small Dowker space in ZFC. In: Proceedings of the American Mathematical Society. Volume 124, 1996, pp. 2555-2560
  5. ↑ A normal screenable non para compact space in ZFC. In: Proceedings of the American Mathematical Society. Volume 126, 1998, pp. 1835-1844. Nagami asked in 1955 whether screenability (according to RH Bing ) and normality are equivalent to paracompactness.
  6. ↑ Nonshrinking open covers and K. Morita's duality conjectures. In: Topology and its Applications. Volume 115, 2001, pp. 333-341
  7. ↑ Mary Ellen Rudin proved the first part of the conjectures in 1978, there are three in total, with the third following from the second.
personal data
SURNAME Balogh, Zoltan Tibor
BRIEF DESCRIPTION Hungarian-American mathematician
DATE OF BIRTH 7th December 1953
PLACE OF BIRTH Debrecen
DATE OF DEATH June 19, 2002
Place of death Oxford (Ohio)