Geodesic
Topological compactifications
Benjamin Vejnar1
1 Department of Mathematical Analysis Charles University 18675 Praha, Czech Republic
Fundamenta Mathematicae, Tome 213 (2011) no. 3, pp. 233-253.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study those compactifications of a space such that every autohomeomorphism of the 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 a countable sum of real lines and 11 H-compactifications of a countable sum of Euclidean spaces of higher dimension. All H-compactifications of discrete and countable locally compact spaces are described.
DOI : 10.4064/fm213-3-4
Keywords: study those compactifications space every autohomeomorphism space continuously extended compactification these called h compactifications van douwen proved there exactly three h compactifications real line prove there exist only h compactifications euclidean spaces higher dimension there h compactifications countable sum real lines h compactifications countable sum euclidean spaces higher dimension h compactifications discrete countable locally compact spaces described

Benjamin Vejnar 1

1 Department of Mathematical Analysis Charles University 18675 Praha, Czech Republic 
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Benjamin Vejnar. Topological compactifications. Fundamenta Mathematicae, Tome 213 (2011) no. 3, pp. 233-253. doi : 10.4064/fm213-3-4. http://geodesic.mathdoc.fr/articles/10.4064/fm213-3-4/

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