THE -COHOMOLOGY RINGS OF -MANIFOLDS-Reference-Cited by-同舟云学术

THE -COHOMOLOGY RINGS OF -MANIFOLDS

Published:2013-09-27 Issue:2 Volume:89 Page:191-201
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

HILLMAN J. A.

Abstract

AbstractWe compute the rings

${H}^{\ast } (N; { \mathbb{F} }_{2} )$

for

$N$

a closed

$ \mathbb{S} {\mathrm{ol} }^{3} $

-manifold, and then determine the Borsuk–Ulam indices

$\text{BU} (N, \phi )$

with

$\phi \not = 0$

${H}^{1} (N; { \mathbb{F} }_{2} )$

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. [7] J. Matoušek (with A. Björner and G. M. Ziegler). Using the Borsuk–Ulam Theorem, Lectures on Topological Methods in Combinatorics and Geometry (Universitext, Springer, Berlin, 2003).

2. A Course in the Theory of Groups

3. [6] S. T. Martins , Aproximações da diagonal e anéis da cohomologia dos grupos fundamentales das superfícies, de fibrados do toro e de certos grupos virtualmente cíclicos, PhD Thesis, Universidade de São Paulo, 2012.

4. [3] D. L. Gonçalves , C. Hayat and P. Zvengrowski , ‘The Borsuk–Ulam theorem for manifolds, with applications to dimensions two and three’, in Group Actions and Homogeneous Spaces, Fak. Mat. Fyziky Inform. Univ. Komenského, Bratislava (2010), 9–28.

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