Strong 0-dimensionality in Pointfree Topology

1 pages•Published: July 28, 2014

Abstract

Classically, a Tychonoff space is called strongly 0-dimensional if its Stone-Cech compactification is 0-dimensional, and given the familiar relationship between spaces and frames it is then natural to call a completely regular frame strongly 0-dimensional if its compact completely regular coreflection is 0-dimensional (meaning: is generated by its complemented elements). Indeed, it is then seen immediately that a Tychonoff space is strongly 0-dimensional iff the frame of its open sets is strongly 0-dimensional in the present sense. This talk will provide an account of various aspects of this notion.

In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 1.

Links:	https://easychair.org/publications/paper/hn
	https://doi.org/10.29007/5dmr

BibTeX entry

@inproceedings{TACL2013:Strong_0_dimensionality_Pointfree,
  author    = {Bernhard Banaschewski},
  title     = {Strong 0-dimensionality in Pointfree Topology},
  booktitle = {TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic},
  editor    = {Nikolaos Galatos and Alexander Kurz and Constantine Tsinakis},
  series    = {EPiC Series in Computing},
  volume    = {25},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/hn},
  doi       = {10.29007/5dmr},
  pages     = {1},
  year      = {2014}}

Download PDF Open PDF in browser