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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 3, Issue 2, 2012 pp 55-60

Research Article

On The Extension of Topological Local Groups with Local Cross Section

H. Sahleh¹, A. Hosseini²

^1,2Department of Mathematics, Faculty of Mathematical Sciences

University of Guilan, P.O.BOX 1914, Rasht – IRAN.

Academic Editor:  Dr. Dase R.K.

In this paper, we introduce the cohomology of topological local groups and topological local extensions. We show that the second cohomology of a local topological group is in one to one correspondence with the class of topological local extensions with local cross sections.