Nash cohomology of smooth manifolds

W. Kucharz. "Nash cohomology of smooth manifolds." Annales Polonici Mathematici 87.1 (2005): 193-205. <http://eudml.org/doc/280590>.

@article{W2005,
abstract = {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.},
author = {W. Kucharz},
journal = {Annales Polonici Mathematici},
keywords = {algebraic cohomology; Nash cohomology; algebraic model},
language = {eng},
number = {1},
pages = {193-205},
title = {Nash cohomology of smooth manifolds},
url = {http://eudml.org/doc/280590},
volume = {87},
year = {2005},
}

TY - JOUR
AU - W. Kucharz
TI - Nash cohomology of smooth manifolds
JO - Annales Polonici Mathematici
PY - 2005
VL - 87
IS - 1
SP - 193
EP - 205
AB - 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.
LA - eng
KW - algebraic cohomology; Nash cohomology; algebraic model
UR - http://eudml.org/doc/280590
ER -