Zoltán Tibor Balogh

Zoltán "Zoli" Tibor Balogh (December 7, 1953 – June 19, 2002) was a Hungarian-born mathematician, specializing in set-theoretic topology. His father, Tibor Balogh, was also a mathematician. His best-known work concerned solutions to problems involving normality of products, most notably the first ZFC construction[1] of a small (cardinality continuum) Dowker space. He also solved Nagami's problem (normal + screenable does not imply paracompact),[2] and the second and third Morita conjectures about normality in products.[3]

References
  1. Z. Balogh, A small Dowker space in ZFC, Proc. Amer. Math. Soc. 124 (1996) 2555-2560. Zbl. 0876.54016
  2. Z. Balogh, A Normal Screenable Nonparacompact Space in ZFC, Proc. Amer. Math. Soc., 126 (1998) 1835-1844 JSTOR 118592
  3. Z. Balogh, Non-shrinking open covers and K. Morita's duality conjectures, Topology Appl., 115 (2001) 333-341



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