Subject: from darush From: "darush aghababayeedehkordi" Date: Wed, 25 Jul 2007 12:19:47 +0330 dear professor in a discussion between kiven gia and me on prime topological spaces topological characterization of prime topological spaces devoted by kiven gia do not involved semi hausdorff spaces so that this characterization is not general . i want charaterization with use of hyper homology theories Subject: from darush( how i classify weaker form open sets with use of quantom groups) From: "darush aghababayeedehkordi" Date: Wed, 25 Jul 2007 12:31:52 +0330 in characterization of weaker form of open sets with use of homology the homology fails. is it possible to use of quantom groups? aside from this fact that weaker form discussion of topological spaces similar to moving time in philosophy( decomposition of fundumental elements continuued to infinitwise is similar to weaker forms continuued to infinite wise) if we replace fundumental groups and homology group with use of quantom groups for every weaker form of open subsets is it true for me to say characterization of weaker form of topological spaces with use of quantom group is valid .