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.