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In this paper, through the combination of Tietze extension theorem and Baercriteria, we build a new mathematical structure which is similar to atriangular pyramid, and then we prove that the topological space which we callit Tb appeared as a result of the combination and sat at the apex of thepyramid is a tychonof space. Finally, we obtain three new extension theorems

Triple extension of Tietze theorem and Baer criterion