Inderasan Naidoo
Department of Mathematical Sciences, University of South Africa, P.O. Box 392, 0003 Unisa, South Africa.
[ 1 ] - 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" to frames, and, using it, we define a frame homomorphism $hcolon Lto M$ to be $beta$-proper, $lambd...
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