PRODUCT THEOREMS AND EXAMPLES IN PSEUDO-COMPACTNESS

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Published: 2015-05-04

Page: 16-23


IVAN IVANSIC *

Department of Mathematics, University of Zagreb, Unska 3, P.O.Box 148, 10001 Zagreb, Croatia.

LEONARD R. RUBIN

Department of Mathematics, University of Oklahoma, 601 Elm Ave., Rm. 423, Norman, Oklahoma 73019, USA.

*Author to whom correspondence should be addressed.


Abstract

We will study direct systems X = (Xa; pb a; (A )) of closed inclusions pb a : Xa ! Xb and determine properties of such systems that will detect the pseudo compactness of dirlimX. We will consider when the condition is productive for pseudo-compactness and will provide several natural examples in which this phenomenon occurs.

Keywords: Complete regularity, direct limit, direct system, inclusion direct system, pseudo-compactness, regularity, Tychono space


How to Cite

IVANSIC, I., & RUBIN, L. R. (2015). PRODUCT THEOREMS AND EXAMPLES IN PSEUDO-COMPACTNESS. Asian Journal of Mathematics and Computer Research, 4(1), 16–23. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/58

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