Superextensions which are Hilbert cubes

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1979 Netherlands English Publisher:Springer Science and Business Media LLCJournal:Periodica Mathematica Hungarica, volume 10, pages 15-24 (issn: 0031-5303, eissn: 1588-2829,

Copyright policy )

Authors: J. van Mill (Jan); A. Schrijver (Lex);

doi: 10.1007/bf02018368

Superextensions which are Hilbert cubes

- Summary
- Subjects
- Metrics

Abstract

It is shown that each separable metric, not totally disconnected, topological space admits a superextension homeomorphic to the Hilbert cube. Moreover, for simple spaces, such as the closed unit interval or then-spheresS n , we give easily described subbases for which the corresponding superextension is homeomorphic to the Hilbert cube.

Country

Netherlands

Related Organizations

Technical University Eindhoven
Netherlands
Centrum Wiskunde & Informatica
Netherlands
University of Amsterdam
Netherlands
Dutch Research Council
Netherlands

Keywords

Extensions of spaces (compactifications, supercompactifications, completions, etc.), Topology of infinite-dimensional manifolds, Fairly general properties of topological spaces

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average