Nash cohomology of smooth manifolds

• Autorzy: W. Kucharz
• Języki publikacji: EN

Abstrakty

EN

A Nash cohomology class on a compact Nash manifold is a mod 2 cohomology class whose Poincaré dual homology class can be represented by a Nash subset. We find a canonical way to define Nash cohomology classes on an arbitrary compact smooth manifold M. Then the Nash cohomology ring of M is compared to the ring of algebraic cohomology classes on algebraic models of M. This is related to three conjectures concerning algebraic cohomology classes.

Kategorie tematyczne

• 14P25: Topology of real algebraic varieties
• 14C25: Algebraic cycles
• 14P20: Nash functions and manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 87
• Numer: 1
• Strony: 193-205

Daty

wydano

2005

Twórcy

autor

W. Kucharz

• Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131-1141, U.S.A.

Identyfikatory

DOI

10.4064/ap87-0-15