# Homology of Locally Semialgebraic Spaces (Lecture Notes in Mathematics) download ebook

## by **Hans Delfs**

Locally semialgebraic spaces serve as an appropriate framework for studying the topological properties of varieties and semialgebraic sets over a real closed field

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. It seems that you're in Russian Federation. We have a dedicated site for Russian Federation.

Автор: Hans Delfs Название: Homology of Locally Semialgebraic Spaces Издательство: Springer Классификация .

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Homology of Locally Semialgebraic Spaces. Springer-Verlag Berlin Heidelberg. Authors Hans Delfs Manfred Knebusch Fakultat fur Mathematik, Universitat Regensburg Universitatsstr.

Поиск книг BookFi BookSee - Download books for free. Категория: Lecture notes. Homology of Locally Semialgebraic Spaces. 6 Mb. Category Theory, Homology Theory and their Applications II. . 9 Mb. Category Theory, Homology Theory, and Their Applications III.

I. Singular Homology. 1. Introduction: Singular Simplices and Chains (PDF).

These lecture notes are based on a live LaTeX record made by Sanath Devalapurkar with images by Xianglong Ni, both of whom were students in the class at the time it was taught on campus. I.

Lecture Notes in Mathematics. Chapter · December 2006 with 14 Reads. In the first section we collect the main properties of semi-abelian categories that will be needed throughout the paper. How we measure 'reads'. Starting from homology of (proper) chain complexes and of simplicial objects, a semi-abelian version of Barr-Beck cotriple homology is introduced. A systematic study of the theory of Baer invariants in this context yields categorical versions of Hopf's formula (describing the second homology object in terms of commutators) and the Stallings-Stammbach sequence.

The book is the second part of an intended three-volume treatise on semialgebraic . A highlight is the proof that every generalized topological (co)homology.

The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R. In the first volume (LNM 1173) the category LSA(R) or regular paracompact locally semialgebraic spaces over R was studied. The category WSA(R) of weakly semialgebraic spaces over R - the focus of this new volume - contains LSA(R) as a full subcategory. A highlight is the proof that every generalized topological (co)homology theory has a counterpart in WSA(R) with in some sense "the same", or even better, properties as the topological theory.

Delfs, Hans; Knebusch, Manfred. Basic homotopy theory of locally semialgebraic spaces. Grothendieck ring of semialgebraic formulas and motivic real Milnor fibers Comte, Georges and Fichou, Goulwen, Geometry & Topology, 2014. Rocky Mountain J. Math. 14 (1984), no. 4, 913-918. Homotopy normal maps Prezma, Matan, Algebraic & Geometric Topology, 2012.

On stratifiable locally convex spaces. The Homology of Iterated Loop Spaces. Report "Homology of Locally Semialgebraic Spaces".

Nuclear Locally Convex Spaces. Locally solid Riesz spaces. On stratifiable locally convex spaces.