Extensions and Absolutes of Hausdorff Spaces
An extension of a topological space X is a space that contains X as a dense subspace. The construction of extensions of various sorts - compactifications, realcompactifications, H-elosed extension- has long been a major area of study in general topology. A ubiquitous method of constructing an extension of a space is to let the new points of the extension be ultrafilters on certain lattices associated with the space. Examples of such lattices are the lattice of open sets, the lattice of zero-sets, and the lattice of elopen sets. A less well-known construction in general topology is the absolute of a space. Associated with each Hausdorff space…
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Noch nicht erschienen, Februar 2022
Produktdetails
Weitere Autoren: Woods, R. Grant
- ISBN: 978-1-4612-3712-9
- EAN: 9781461237129
- Produktnummer: 38257916
- Verlag: Springer New York
- Sprache: Englisch
- Erscheinungsjahr: 2012
- Seitenangabe: 856 S.
- Plattform: PDF
- Auflage: 1988
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