Title of article
Regular versus continuous rational maps
Author/Authors
Kucharz، نويسنده , , Wojciech، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2013
Pages
4
From page
1375
To page
1378
Abstract
We prove that a continuous map from a compact nonsingular real algebraic variety X into the unit 2-sphere can be approximated by regular maps if and only if it is homotopic to a continuous map which is regular in the complement of a Zariski closed subvariety A of X of codimension at least 3. The assumption on the codimension of A is essential.
Keywords
Real algebraic variety , Regular map , Continuous rational map , approximation , homotopy , Borel–Moore homology
Journal title
Topology and its Applications
Serial Year
2013
Journal title
Topology and its Applications
Record number
1583835
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