Locally semialgebraic spaces
type: Item
instance of: scholarly article
title: Locally semialgebraic spaces
zbMATH Open document ID: 0582.14006
author: Hans Delfs
author: Manfred Knebusch
published in: Lecture Notes in Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The book is intended as a ''topologie générale'' for semi-algebraic geometry over a real closed field. Having developed in several papers the study of semi-algebraic spaces and maps, the authors felt the necessity of introducing more general objects, namely locally semialgebraic spaces. Locally semialgebraic spaces are necessary in order to define, for example, a good theory of semialgebraic coverings: the universal covering of a semialgebraic space is no more semialgebraic but locally semialgebraic. The authors develop in three chapters definitions and results about locally semialgebraic spaces and their topological properties (completions, triangulation, homotopy theory), adapting to their case the techniques of topology.
Mathematics Subject Classification ID: 14Pxx
Mathematics Subject Classification ID: 14-02
Mathematics Subject Classification ID: 14F45
zbMATH DE Number: 3931165
zbMATH Keywords: semi-algebraic geometry over a real closed field
zbMATH Keywords: locally semialgebraic spaces
zbMATH Keywords: semialgebraic coverings
zbMATH Keywords: completions
zbMATH Keywords: triangulation
zbMATH Keywords: homotopy theory
reviewed by: Marie-Françoise Roy
MaRDI profile type: Publication
DOI: 10.1007/BFB0074551
description: scientific article; zbMATH DE number 3931165