Download pdf Extensions and Absolutes of Hausdorff Spaces
Download pdf Extensions and Absolutes of Hausdorff Spaces
---------------------------------------------------------------
Author: Jack R. Porter
Page Count: 869 pages
Published Date: 30 Sep 2011
Publisher: Springer-Verlag New York Inc.
Publication Country: New York, NY, United States
Language: English
Format: eBook
ISBN: 9781461283164
File Name: Extensions.and.Absolutes.of.Hausdorff.Spaces.pdf
Download Link: 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 X is an extremally disconnected zero-dimensional Hausdorff space EX, called the Iliama absolute of X, and a perfect, irreducible, a-continuous surjection from EX onto X. A detailed discussion of the importance of the absolute in the study of topology and its applications appears at the beginning of Chapter 6. What concerns us here is that in most constructions of the absolute, the points of EX are certain ultrafilters on lattices associated with X. Thus extensions and absolutes, although very different, are constructed using similar tools.
Read online Extensions and Absolutes of Hausdorff Spaces Buy Extensions and Absolutes of Hausdorff Spaces Download Extensions and Absolutes of Hausdorff Spaces for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Extensions and Absolutes of Hausdorff Spaces
Download PDF, EPUB, Kindle Amenities of Literature, Consisting of Sketches and Characters of English Literature, Volume I
God's Gifts to Me download
The Punjab Record, Volume 11... download torrent
Lenten Devotions : The Stations of the Cross and Seven Last Words pdf
Download ebook CARS 21 Mid-Term Review High Level Conference : Conclusions and Report
Extensions and Absolutes of Hausdorff Spaces by Jack R. Porter
Author: Jack R. Porter
Page Count: 869 pages
Published Date: 30 Sep 2011
Publisher: Springer-Verlag New York Inc.
Publication Country: New York, NY, United States
Language: English
Format: eBook
ISBN: 9781461283164
File Name: Extensions.and.Absolutes.of.Hausdorff.Spaces.pdf
Download Link: 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 X is an extremally disconnected zero-dimensional Hausdorff space EX, called the Iliama absolute of X, and a perfect, irreducible, a-continuous surjection from EX onto X. A detailed discussion of the importance of the absolute in the study of topology and its applications appears at the beginning of Chapter 6. What concerns us here is that in most constructions of the absolute, the points of EX are certain ultrafilters on lattices associated with X. Thus extensions and absolutes, although very different, are constructed using similar tools.
Read online Extensions and Absolutes of Hausdorff Spaces Buy Extensions and Absolutes of Hausdorff Spaces Download Extensions and Absolutes of Hausdorff Spaces for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Extensions and Absolutes of Hausdorff Spaces
Other files:
Download pdf Boys & BugsDownload PDF, EPUB, Kindle Amenities of Literature, Consisting of Sketches and Characters of English Literature, Volume I
God's Gifts to Me download
The Punjab Record, Volume 11... download torrent
Lenten Devotions : The Stations of the Cross and Seven Last Words pdf
Download ebook CARS 21 Mid-Term Review High Level Conference : Conclusions and Report