Topological Compactifications

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10103603" target="_blank" >RIV/00216208:11320/11:10103603 - isvavai.cz</a>

Result on the web

<a href="http://journals.impan.gov.pl/cgi-bin/fm/pdf?fm213-3-04" target="_blank" >http://journals.impan.gov.pl/cgi-bin/fm/pdf?fm213-3-04</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4064/fm213-3-4" target="_blank" >10.4064/fm213-3-4</a>

Result language

angličtina

Original language name

Topological Compactifications

Original language description

We study those compactifications of a space such that every autohomeomorphism of the given space can be continuously extended over the compactification. These are called H-compactifications. Van Douwen proved that there are exactly three H-compactifications of the real line. We prove that there exist only two H-compactifications of Euclidean spaces of higher dimension. Next we show that there are 26 H-compactifications of countable sum of real lines and 11 H-compactifications of countable sum of Euclidean spaces of higher dimension. All H-compactifications of discrete and countable locally compact spaces are described.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Fundamenta Mathematicae

ISSN

0016-2736

e-ISSN

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Volume of the periodical

213

Issue of the periodical within the volume

3

Country of publishing house

PL - POLAND

Number of pages

21

Pages from-to

233-253

UT code for WoS article

000296298400004

EID of the result in the Scopus database

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