A pointfree version of remainder preservation

Recall that a continuous function $fcolon Xto Y$ between Tychonoff spaces is proper if and only if the Stone extension $f^{beta}colon beta Xtobeta Y$ takes remainder to remainder, in the sense that $f^{beta}[beta X-X]subseteq beta Y-Y$. We introduce the notion of ``taking remainder to remainder"...

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Bibliographic Details
Main Authors: Themba Dube, Inderasan Naidoo
Format: Article
Language:English
Published: Shahid Beheshti University 2013-12-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:http://www.cgasa.ir/article_4264_91ce60eb77415d9197885588177906a7.pdf