MAZURKIEWICZ MANIFOLDS AND HOMOGENEITY

It is proved that no region of a homogeneous locally compact, locally connected metric space can be cut by an F₀ -subset of a "smaller" dimension. The result applies to different finite or infinite topological dimensions of metrizable spaces.

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Bibliographic Details
Published in:	The Rocky Mountain journal of mathematics Vol. 41; no. 6; pp. 1933 - 1938
Main Authors:	KRUPSKI, P., VALOV, V.
Format:	Journal Article
Language:	English
Published:	The Rocky Mountain Mathematics Consortium 01-01-2011 Rocky Mountain Mathematics Consortium
Subjects:	54F45 55M10 C -space Cantor manifold Cantors theorem cohomological dimension Connected regions covering dimension homogeneous space Mathematical manifolds Mathematical theorems Mazurkiewicz manifold Metrizable spaces strongly infinite-dimensional Topological theorems
Online Access:	Get full text
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Description
Summary:	It is proved that no region of a homogeneous locally compact, locally connected metric space can be cut by an F₀ -subset of a "smaller" dimension. The result applies to different finite or infinite topological dimensions of metrizable spaces.
ISSN:	0035-7596 1945-3795
DOI:	10.1216/RMJ-2011-41-6-1933