Special Singular Indices of T-Spaces as Invariant Quanta of T-Homotopy Types of T-Spaces

Abstract:

      In this paper, we introduce the concepts of T-map , T-homeomorphism, T-homotopies between T-maps, T-homotopy-equivalents between T-spaces, and define the concept of special singular index of T-space by Ceech-Smith special singular cohomology theory for T-compact connected Hausdorff spaces. We prove that the special singular indeces of T-spaces are the invariant quanta for T-homotopy-types of T-spaces, the invariant quanta for T-homeomorphism-types of T-spaces, too.