Abstract
A generalized version of the topological transversality theorem due to A. Granas is proved by using Urysohn’s lemma in Csaszar’s variant. Some applications are suggested.
Authors
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
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R. Precup, Topological transversality and applications, Proceedings of NCGT, Timișoara, Romania, October 5-7, 1989, pp. 193-197.
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[1] A. Csaszar, Fondements de la topologie generale, Akademiai Kiado, Budapest, 1960.
[2] A. Csaszar, General Topology, Akademiai Kiado, Budapest, 1978.
[3] J. Dugundji and A. Granas, Fixed point theory, I. Polska Akad. Nauk. Polish Scientific Publishers, Warszawa, 1982.
[4] R. Precup, Generalized topological transversality and existence theorems, Studia Univ. Babes-Bolyai, 35(2), 1990 (to appear).