C- and C*-quotients in pointfree topology

Richard N. Ball; Joanne Walters-Wayland

  • 2002

Abstract

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We generalize a major portion of the classical theory of C- and C*-embedded subspaces to pointfree topology, where the corresponding notions are frame C- and C*-quotients. The central results characterize these quotients and generalize Urysohn's Extension Theorem, among others. The proofs require calculations in CL, the archimedean f-ring of frame maps from the topology of the reals into the frame L. We give a number of applications of the central results.

How to cite

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Richard N. Ball, and Joanne Walters-Wayland. C- and C*-quotients in pointfree topology. 2002. <http://eudml.org/doc/285985>.

@book{RichardN2002,
abstract = {We generalize a major portion of the classical theory of C- and C*-embedded subspaces to pointfree topology, where the corresponding notions are frame C- and C*-quotients. The central results characterize these quotients and generalize Urysohn's Extension Theorem, among others. The proofs require calculations in CL, the archimedean f-ring of frame maps from the topology of the reals into the frame L. We give a number of applications of the central results.},
author = {Richard N. Ball, Joanne Walters-Wayland},
keywords = {category at locales; -locales; -locales},
language = {eng},
title = {C- and C*-quotients in pointfree topology},
url = {http://eudml.org/doc/285985},
year = {2002},
}

TY - BOOK
AU - Richard N. Ball
AU - Joanne Walters-Wayland
TI - C- and C*-quotients in pointfree topology
PY - 2002
AB - We generalize a major portion of the classical theory of C- and C*-embedded subspaces to pointfree topology, where the corresponding notions are frame C- and C*-quotients. The central results characterize these quotients and generalize Urysohn's Extension Theorem, among others. The proofs require calculations in CL, the archimedean f-ring of frame maps from the topology of the reals into the frame L. We give a number of applications of the central results.
LA - eng
KW - category at locales; -locales; -locales
UR - http://eudml.org/doc/285985
ER -

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