Revista Integración, temas de matemáticas.
Vol. 14 No. 2 (1996): Revista Integración, temas de matemáticas
Research and Innovation Articles

Nest and Complete Accumulation Point Compactness ot the Product of Topological Spaces

Alexander Abian
Department of Mathematics, Iowa State University

How to Cite

Abian, A. (1996). Nest and Complete Accumulation Point Compactness ot the Product of Topological Spaces. Revista Integración, Temas De matemáticas, 14(2), 69–73. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/991

Abstract

 

Based on the definition of nest compactness (Ie., the intersection of a nest of nonempty closed sets is nonempty) we show that the product of the two nest compáct topological spaces is nest compact, and, this without invoking the compactness of the product of two compact topological spaces based on the classical definition of compactness (i.e., every open cover has a finit subcover). The same is done based on the definition of complete accumulation point compactness. The latter, by Remark 5, extends easily to the infinite products of topological spaces.

 

Downloads

Download data is not yet available.