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A Note on Certain Spaces with Bases (mod K)

Published online by Cambridge University Press:  20 November 2018

Harold R. Bennett  and
Harold W. Martin
Harold R. Bennett
Affiliation:
Texas Tech University, Lubbock, Texas
Harold W. Martin
Affiliation:
Texas Tech University, Lubbock, Texas
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In this note all spaces are assumed to be regular T1 spaces and all undefined terms and notations may be found in [8], In particular let cl(A) denote the closure of the set A and let Z+ denote the set of natural numbers.

Definition 1. Let X be a topological space and a covering of X by compact sets. An open covering of X is said to be a basis (mod K) if whenever and an open set V contains Kx, then there exists such that . In such a case X is written as the ordered triple .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 2 , 01 April 1975 , pp. 469 - 474
Copyright
Copyright © Canadian Mathematical Society 1975

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