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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.
  • 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. (en)
Title
  • Topological Compactifications
  • Topological Compactifications (en)
skos:prefLabel
  • Topological Compactifications
  • Topological Compactifications (en)
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  • RIV/00216208:11320/11:10103603!RIV12-MSM-11320___
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  • 235547
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  • RIV/00216208:11320/11:10103603
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  • Euclidean space; homeomorphism; compactification (en)
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  • PL - Polská republika
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  • [D0FC85EAE213]
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  • Fundamenta Mathematicae
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  • 213
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  • Vejnar, Benjamin
http://linked.open...ain/vavai/riv/wos
  • 000296298400004
issn
  • 0016-2736
number of pages
http://bibframe.org/vocab/doi
  • 10.4064/fm213-3-4
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  • 11320
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