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Characterizations of Completely Hausdorff-closed Spaces Via Graphs and Projections

Published online by Cambridge University Press:  20 November 2018

James E. Joseph
James E. Joseph*
Affiliation:
Howard University, Washington, B.C. 20059
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L. L. Herrington recently characterized completely Hausdorff-closed topological spaces in terms of arbitrary filterbases and a type of convergence for filterbases called f-convergence [2], Before this, characterizations of these spaces via filterbases was by open filterbases [1]. In this article, we employ Herrington's characterizations to obtain characterizations of completely Hausdorff-closed spaces in terms of projections and in terms of graphs of functions into the spaces; both of these—projections and graphs—are utilized in conjunction with a class S of spaces containing as a subclass the Hausdorff completely normal fully normal spaces to effect the characterizations.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 1 , 01 February 1978 , pp. 154 - 160
Copyright
Copyright © Canadian Mathematical Society 1978

References

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