Topological compactifications

• Autorzy: Benjamin Vejnar
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54C20: Extension of maps
• 54D35: Extensions of spaces (compactifications, supercompactifications, completions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 213
• Numer: 3
• Strony: 233-253

Daty

wydano

2011

Twórcy

autor

Benjamin Vejnar

• Department of Mathematical Analysis, Charles University, 18675 Praha, Czech Republic

Identyfikatory

DOI

10.4064/fm213-3-4