Certain subsets of products of $\theta $-refinable spaces are realcompact
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولMaximal Realcompact Spaces and Measurable Cardinals
Comfort and Hager investigate the notion of a maximal realcompact space and ask about the relationship to the first measurable cardinal m. A space is said to be a P (m) space if the intersection of fewer than m open sets is again open. They ask if each realcompact P (m) space is maximal realcompact. We establish that this question is undecidable.
متن کاملLocally realcompact and HN-complete spaces
Two classes of spaces are studied, namely locally realcompact spaces and HNcomplete spaces, where the latter class is introduced in the paper. Both of these classes are superclasses of the class of realcompact spaces. Invariance with respect to subspaces and products of these spaces are investigated. It is shown that these two classes can be characterized by demanding that certain equivalences ...
متن کاملNon-realcompact Products with a Metric Factor
Given a metric space X we characterize those Y so that the realcompactification of X×Y is just the product of X with the realcompactification of Y . Examples are constructed to illustrate that the properties involved do depend on the metric spaces
متن کاملStructure of Certain Banach Algebra Products
Let and be Banach algebras, , and . We define an -product on which is a strongly splitting extension of by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenability and weak amenability of these products.
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 American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1973-0322812-9