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Abstract

We give necessary and sufficient conditions for a locally semi-algebraic space to be homeomorphic to a simplicial complex. Our proof does not require the space to be embedded anywhere, and it requires neither compactness nor projectivity of the space. A corollary is that every real or complex algebraic variety is triangulable, a result which does not seem to be available in the literature when the variety is neither projective nor real and compact.

Details

Title
Triangulation of locally semi -algebraic spaces
Author
Hofmann, Kyle Roger
Year
2009
Publisher
ProQuest Dissertations & Theses
ISBN
978-1-109-43867-3
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304931094
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.