Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39120130301Brandt extensions and primitive topologically periodic inverse topological semigroups8795335ENJ.JamalzadehI am phd student in sistan and bluchestan universityGh.RezaeiUniversity of Sistan and Bluchestan, IranJournal Article20101220In this paper we find sufficient conditions on primitive inverse <br />topological semigroup S under which: the inversion inv : (H(S)) (H(S)) <br />is continuous; we show that every topologically periodic countable compact <br />primitive inverse topological semigroups with closed H-classes is topologically <br />isomorphic to an orthogonal sum <br />P <br />i2= Bi (Gi) of topological Brandt extensions Bi (Gi) of countably compact topological groups Gi in the class <br />of topological inverse semigroups for some finite cardinals.http://bims.iranjournals.ir/article_335_d5c026c53354c9bcbfe4d7fe7e5c649e.pdf