IJPAM: Volume 112, No. 3 (2017)

Title

INVESTIGATION OF SOME PROPERTIES OF
THE COHOMOLOGY OF $ SO(n) $ AND
ITS CLASSIFYING SPACE

Authors

Ayşe Çobankaya
Department of Mathematics
Faculty of Science and Literature
Çukurova University
Adana, TURKEY

Abstract

In this paper we determine those generators of $H^{*}(SO(n),\Z_2)$ which are connected by Steenrod operations. We also study some properties of $H^{*}(X_{G})$ using the Leray - Serre spectral sequence of the fibration $X\rightarrow X_{G}\rightarrow B_{G}$.

History

Received: January 2, 2017
Revised: January 20, 2017
Published: February 9, 2017

AMS Classification, Key Words

AMS Subject Classification: 18G40, 57T10, 55R10
Key Words and Phrases: steenrod operations, spectral sequence, Borel cohomology

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Bibliography

1
E. Lucas, Théorie des Fonctions Numériques Simplement Périodiques, American Journal of Mathematics, 1, No. 3 (1878), 197-240.

1
E.H. Spanier, Algebraic Topology, McGraw-Hill, 1966.

1
J. McCleary, A User's Guide to Spectral Sequences, Cambridge University Press, 2001.

1
M. Mimura, H. Toda, Lie Groups, I and II, American Mathematical Society, 1991.

1
N.E. Steenrod, Cohomology Operations, Lectures by N.E. Steenrod written and revised by D. B. A. Epstein. Annals of Mathematics Studies, No. 50, Princeton University Press, Princeton, N.J., 1962.

How to Cite?

DOI: 10.12732/ijpam.v112i3.12 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 3
Pages: 605 - 611


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