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...

In this paper we investigate the canonical structure of diffeomorphism invariant phase spaces for spatially locally homogeneous spacetimes with 3-dimensional compact closed spaces. After giving a general algorithm to express the diffeomorphisminvariant phase space and the canonical structure of a locally homogeneous system in terms of those of a homogeneous system on a covering space and a modu...

In this paper we investigate the canonical structure of diffeomorphism invariant phase spaces for spatially locally homogeneous spacetimes with 3-dimensional compact closed spaces. After giving a general algorithm to express the diffeomorphisminvariant phase space and the canonical structure of a locally homogeneous system in terms of those of a homogeneous system on a covering space and a modu...

R esum e. Il est bien connu que la m ethode de Newton, lorsqu'appliqu ee a un probl eme d'in equation variationnelle fortement monotone, converge localement vers la solution de l'in equation, et que l'ordre de convergence est quadratique. Dans cet article nous mon-trons que la direction de Newton constitue une direction de descente pour un objectif non dii erentiable et non convexe, et ceci m^ ...

We prove that a space is quotient π-image of a locally separable metric space if and only if it has a πand double cs∗cover. We also investigate quotient π-s-images of locally separable metric spaces.

In this paper the idea of -locally closed sets in generalized topological space is introduced and study some of their properties. We introduce the notion of (,’)locally closed continuous functions on generalized topological space and investigate some of their characterizations.

This paper pays a visit to famous contractible open 3-manifold $W^3$ proposed by R. H. Bing in 1950's. By the finiteness theorem \cite{Hak68}, Haken proved that can embed no compact 3-manifold. However, until now, question about whether more general space such as compact, locally connected and 1-connected metric 3-space was not known. Using techniques developed Sternfeld's 1977 PhD thesis \cite...