Subject: from darush.aghababayeedehkordi( classify of variouse type of
hyperconnected spaces)
From: "darush aghababayeedehkordi"
Date: Sun, 15 Jul 2007 12:55:19 +0430
let X be a hyper connected topological space or sg-compact topological
spaces
if H_i ( X) are homologies group s of this topological spaces we comput
coproduct tensor product of homology groups in this
case we classify sgcompact topological spaces.
( the homology functor is not suitable tool for this work because
every sgcompact is a compact and every semi compact is a compact and
homology of them are same.
let O denote tensor product ,sigma denoted coproduct of graded modules(
H_n)
in this case we introduce sigma(H_i(X)OH_j(X) is use full tool for
classify of prime topological spaces or hyper connected spaces or compact
spaces .
with this tool homology of sgcompact and semi compact spaces are not same.
and with use of homology of these spaces are same.