On homotopy groups of real algebraic varieties and their complexifications
GEOMETRIAE DEDICATA, vol.108, no.1, pp.131-140, 2004 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 108 Issue: 1
- Publication Date: 2004
- Doi Number: 10.1007/s10711-004-9648-6
- Journal Name: GEOMETRIAE DEDICATA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.131-140
- Middle East Technical University Affiliated: Yes
Abstract
Let X-0 be a topological component of a nonsingular real algebraic variety and i : X --> X-C is a nonsingular projective complexification of X. In this paper, we will study the homomorphism on homotopy groups induced by the inclusion map i: X-0 --> X-C and obtain several results using rational homotopy theory and other standard tools of homotopy theory.