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.
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; Homeomorphic; Semi-algebraic spaces; Triangulation
Title
Triangulation of locally semi -algebraic spaces
Author
Hofmann, Kyle Roger
Source
DAI-B 70/10, Dissertation Abstracts International
Advisor
Mustata, Mircea I.
University/institution
University of Michigan
University location
United States -- Michigan
Source type
Dissertation or Thesis
Document type
Dissertation/Thesis
Dissertation/thesis number
3382214
ProQuest document ID
304931094
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/304931094