A characterisation of pseudo-compact spaces
نویسندگان
چکیده
منابع مشابه
On Properties Characterizing Pseudo- Compact Spaces
Completely regular pseudo-compact spaces have been characterized in several ways. E. Hewitt [6, pp. 68-70] has given one characterization in terms of the Stone-Cech compactification and another in terms of the zero sets of continuous functions. J. Colmez [2; no proofs included] and I. Glicksberg [4] have obtained characterizations by means of a convergence property for sequences of continuous f...
متن کاملA point-free characterisation of Bishop locally compact metric spaces
We give a characterisation of Bishop locally compact metric spaces in terms of formal topology. To this end, we introduce the notion of inhabited enumerably locally compact regular formal topology, and show that the category of Bishop locally compact metric spaces is equivalent to the full subcategory of formal topologies consisting of those objects which are isomorphic to some inhabited enumer...
متن کاملPseudo-riemannian T -duals of Compact Riemannian Reductive Spaces
The aim of this paper is the construction of pseudo-Riemannian homogeneous spaces with special curvature properties such as Einstein spaces etc. using corresponding known compact Riemannian ones. This construction is based on the notion of a certain duality between compact and non-compact homogeneous spaces.
متن کاملA Class of compact operators on homogeneous spaces
Let $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and $H$ be a compact subgroup of $G$. For an admissible wavelet $zeta$ for $varpi$ and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.
متن کاملA Characterisation of Compact, Fragmentable Linear Orders
We give a characterisation of fragmentable, compact linearly order spaces. In particular, we show that if K is a compact, fragmentable, linearly ordered space then K is a Radon-Nikodým compact. In addition, we obtain some corollaries in topology and renorming theory.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1957
ISSN: 0386-2194
DOI: 10.3792/pja/1195525025