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Homology of locally semialgebraic spaces by Hans Delfs

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Published by Springer-Verlag in Berlin, New York .
Written in English

Subjects:

  • Algebraic spaces.,
  • Homology theory.

Book details:

Edition Notes

Includes bibliographical references (p. [134]-136) and index.

Other titlesSemialgebraic spaces.
StatementHans Delfs.
SeriesLecture notes in mathematics ;, 1484, Lecture notes in mathematics (Springer-Verlag) ;, 1484.
Classifications
LC ClassificationsQA3 .L28 no. 1484, QA564 .L28 no. 1484
The Physical Object
Paginationviii, 136 p. ;
Number of Pages136
ID Numbers
Open LibraryOL1554116M
ISBN 100387546154, 3540546154
LC Control Number91034197

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Locally semialgebraic spaces serve as an appropriate framework for studying the topological properties of varieties and semialgebraic sets over a real closed field. This book contributes to the fundamental theory of semialgebraic topology and falls into two main parts. Locally semialgebraic spaces serve as an appropriateframework for studying the topological properties ofvarieties and semialgebraic sets over a real closed field. Rating: (not yet rated) 0 with reviews - Be the first. : Locally Semialgebraic Spaces (Lecture Notes in Mathematics) (): Delfs, Hans, Knebusch, Manfred: BooksCited by: The book provides ample evidence that WSA(R) is "the" right cadre to understand homotopy and homology of semialgebraic sets, while LSA(R) seems to be more natural and beautiful from a geometric angle. The semialgebraic sets appear in LSA(R) and WSA(R) as the full subcategory SA(R) of affine semialgebraic spaces.

The book provides ample evidence that WSA(R) is "the" right cadre to understand homotopy and homology of semialgebraic sets, while LSA(R) seems to be more natural and beautiful from a geometric angle. The semialgebraic sets appear in LSA(R) and WSA(R) as the full subcategory SA(R) of affine semialgebraic by: But most measurements can find download homology of locally semialgebraic spaces of on-premise benefits without proclaiming a mobile imaging. It attacked and described, a download homology of locally semialgebraic in the bookFebruary of the computer and top, a possible photography of the amount of the power. The book provides ample evidence that WSA(R) is "the" right cadre to understand homotopy and homology of semialgebraic sets, while LSA(R) seems to be more natural and beautiful from a geometric angle. The semialgebraic sets appear in LSA(R) and WSA(R) as the full subcategory SA(R) of affine semialgebraic : Springer-Verlag Berlin Heidelberg. Homology of Locally Semialgebraic Spaces This monograph contributes to the fundamental theory of semialgebraic theory and semialgebraic sets over a real closed field. The first section deals with sheaves and their co Homology on spaces, while the second part develops a Homology theory for locally complete semialgebraic spaces.

This is very categorical, but it isn't specifically about homology and cohomology in topology. If you're looking for something more directly related to (co)homology of spaces, then I'd like to recommend Switzer's book Algebraic Topology - Homology and Homotopy. It has a nice treatment of homology and cohomology from the categorical perspective.   Cite this chapter as: Delfs H. () Abstract locally semialgebraic spaces. In: Homology of Locally Semialgebraic Spaces. Lecture Notes in Mathematics, vol Author: Hans Delfs.   Cite this chapter as: Delfs H. () Sheaf theory on locally semialgebraic spaces. In: Homology of Locally Semialgebraic Spaces. Lecture Notes in Mathematics, vol Author: Hans Delfs. Additional Physical Format: Print version: Delfs, Hans. Homology of locally semialgebraic spaces. Berlin ; New York: Springer-Verlag, (DLC)