An observation on realcompact spaces
نویسندگان
چکیده
منابع مشابه
Maximal 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 کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولOn Two Definitions of Observation Spaces
This paper establishes the equality of the observation spaces defined by means of piecewise constant controls with those defined in terms of differentiable controls. This research was supported in part by US Air Force Grant AFOSR-88-0235. keywords: Observation space, shuffle product, input-output system, generating series.
متن کاملUniformizable and Realcompact Bornological Universes
Bornological universes were introduced by Hu in [11] and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory. In [11] and [12] Hu gives a necessary and sufficient condition for which a bornological universe is metrizable. In this article we will give a characterization of uniformizable bornological universes. Furthermore, a cons...
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: 2005
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-05-08012-3