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A Modified Wallman Method of Compactification
Department of Mathematics, Texas A&M University, Kingsville, USA
University of Texas at San Antonio, San Antonio, USA
- 1 Department of Mathematics, Texas A&M University, Kingsville, USA
- 2 University of Texas at San Antonio, San Antonio, USA
Advances in Pure Mathematics·Volume 03 (2013)·Pages 590–597·Published 29 August 2013·DOI10.4236/apm.2013.36076
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Abstract
Closed and basic closed C * D -filters are used in a process similar to Wallman method for compactifications of the topological spaces Y , of which, there is a subset of C * (Y) containing a non-constant function, where C * (Y) is the set of bounded real continuous functions on Y . An arbitrary Hausdorff compactification ( Z , h ) of a Tychonoff space X can be obtained by using basic closed C * D -filters from in a similar way, where C (Z) is the set of real continuous functions on Z .
KeywordsClosed Ãx-FilterOpen and Closed C*D-Filter BasesBasic Open and Closed C*D-FiltersCompactificationStone-Cech and Wallman Compactifications
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