in [1,2,3], a. c. baker and j.w. baker studied the subspace ma(s) of the convolution measure algebra m, (s) of a locally compact semigroup. h. dzinotyiweyi in [5,7] considers an analogous measure space on a large class of c-distinguished topological semigroups containing all completely regular topological semigroups. in this paper, we extend the definitions to study the weighted semigroup algeb...

We introduce the (2+1)-spacetimes with compact space of genus g ≥ 0 and r gravitating particles which arise by Minkowskian suspensions of flat or hyperbolic cone surfaces, by distinguished deformations of hyperbolic suspensions and by patchworking of suspensions. Similarly to the matter-free case, these spacetimes have nice properties with respect to the canonical Cosmological Time Function. Wh...

In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological semigroups containing all completely regular topological semigroups. In this paper, we extend the definitions to study the weighted semigroup ...

We prove that the locally convex space $C_{p}(X)$ of continuous real-valued functions on a Tychonoff $X$ equipped with topology pointwise convergence is distinguished if and only $\Delta$-space in sense \cite {Knight}. As an application this characterization theorem we obtain following results: 1) If \v{C}ech-complete (in particular, compact) such $C_p(X)$ distinguished, then scattered. 2) For ...