On homotopy groups of real algebraic varieties and their complexifications

Date

2004-10-01

Author

Ozan, Yıldıray

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

214
views

0
downloads

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.

Subject Keywords

Geometry and Topology

URI

https://hdl.handle.net/11511/39484

Journal

GEOMETRIAE DEDICATA

DOI

https://doi.org/10.1007/s10711-004-9648-6

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

On endomorphisms of surface mapping class groups Korkmaz, Mustafa (Elsevier BV, 2001-05-01) In this paper, we prove that every endomorphism of the mapping class group of an orientable surface onto a subgroup of finite index is in fact an automorphism.
Equivariant cross sections of complex Stiefel manifolds Onder, T (Elsevier BV, 2001-01-16) Let G be a finite group and let M be a unitary representation space of G. A solution to the existence problem of G-equivariant cross sections of the complex Stiefel manifold W-k(M) of unitary k-frames over the unit sphere S(M) is given under mild restrictions on G and on fixed point sets. In the case G is an even ordered group, some sufficient conditions for the existence of G-equivariant real frame fields on spheres with complementary G-equivariant complex structures are also obtained, improving earlier re...
An obstruction to the existence of real projective structures Coban, Hatice (Elsevier BV, 2019-09-15) In this short note, we give an obstruction to obtain examples of higher dimensional manifolds with infinite fundamental groups, including the infinite cyclic group Z, admitting no real projective structure.
Some cardinal invariants on the space C-alpha (X, Y) Onal, S; Vural, C (Elsevier BV, 2005-05-14) Let C-alpha (X, Y) be the set of all continuous functions from X to Y endowed with the set-open topology where a is a hereditarily closed, compact network on X such that closed under finite unions. We define two properties (E1) and (E2) on the triple (alpha, X, Y) which yield new equalities and inequalities between some cardinal invariants on C-alpha (X, Y) and some cardinal invariants on the spaces X, Y such as:
Some upper bounds for density of function spaces Önal, Süleyman (Elsevier BV, 2009-05-01) Let C-alpha(X, Y) be the set of all continuous functions from X to Y endowed with the set-open topology where alpha is a hereditarily closed, compact network on X which is closed Under finite unions. We proved that the density of the space C-alpha(X, Y) is at most iw(X) . d(Y) where iw(X) denotes the i-weight of the Tychonoff space X, and d(Y) denotes the density of the space Y when Y is an equiconnected space with equiconnecting function psi, and Y has a base consists of psi-convex Subsets of Y. We also pr...

Citation Formats

Y. Ozan, “On homotopy groups of real algebraic varieties and their complexifications,” GEOMETRIAE DEDICATA, pp. 131–140, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39484.