"Topological Compactifications"@en . "Topological Compactifications"@en . "000296298400004" . . . "PL - Polsk\u00E1 republika" . . "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." . "3" . "Topological Compactifications" . "RIV/00216208:11320/11:10103603!RIV12-MSM-11320___" . . "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 . "235547" . . . "Euclidean space; homeomorphism; compactification"@en . "RIV/00216208:11320/11:10103603" . . "Topological Compactifications" . . "http://journals.impan.gov.pl/cgi-bin/fm/pdf?fm213-3-04" . "213" . "11320" . . . . "[D0FC85EAE213]" . "1"^^ . "S" . . "Vejnar, Benjamin" . "1"^^ . "Fundamenta Mathematicae" . . "10.4064/fm213-3-4" . . "21"^^ . "0016-2736" . .