Local Connectedness Of Extension Spaces
- 1 January 1956
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 8, 395-398
- https://doi.org/10.4153/cjm-1956-044-8
Abstract
1. Introduction. An extension E* of a topological space E (that is, a space containing E as a dense subspace) determines a family of filters (u) on E, given by the traces U ∩ E of the neighbourhoods U ⊆ E* of each u ∈ E* − E. Many topological properties of an extension E* of a given space E can be related to properties of these trace filters (as we shall call them) belonging to E*.Keywords
This publication has 1 reference indexed in Scilit:
- On H-closed and bicompact spacesČasopis pro pěstování matematiky a fysiky, 1940