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Mathematical Notes
Article . 1978 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 1978
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
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Scattered spaces not having scattered compactifications

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1978 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 23, pages 69-73 (issn: 0001-4346, eissn: 1573-8876, Copyright policy )
Authors: Malyhin, V. I.;

doi: 10.1007/bf01104890

Scattered spaces not having scattered compactifications

Abstract

Some examples of scattered spaces not having scattered compactifications are given, which solves a problem of Semadeni. Thus, let S be any extremally disconnected dense-in-itself subspace of βN/N. Then for every point ξ∈S the subspacen ∪{ξ} does not have any scattered compactification.

Related Organizations
Keywords

Extensions of spaces (compactifications, supercompactifications, completions, etc.), extremally disconnected dense-in-itself subspace, scattered spaces, problem of Semadeni, scattered compactifications

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selected citations
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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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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