On continuously semimetrizable and stratifiable spaces
نویسندگان
چکیده
منابع مشابه
compactifications 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 اولe-13 Generalized Metric Spaces III: Linearly Stratifiable Spaces and Analogous Classes of Spaces
This article is concerned with generalizations of concepts like stratifiability and metrizability to arbitrary infinite cardinalities, in a way that uses linear orders in key places. This has resulted in theories which are remarkably faithful generalizations of the theories of stratifiable, metrizable, etc. spaces. For metrizable spaces, the generalization is to the class of (Tychonoff ) spaces...
متن کاملWeakly Continuously Urysohn Spaces
We study weakly continuously Urysohn spaces, which were introduced in [Z]. We show that every weakly continuously Urysohn w∆-space has a base of countable order, that separable weakly continuously Urysohn spaces are submetrizable, hence continuously Urysohn, that monontonically normal weakly continuously Urysohn spaces are hereditarily paracompact, and that no linear extension of any uncountabl...
متن کاملApproximating Functions on Stratifiable Sets
We investigate smooth approximations of functions, with prescribed gradient behavior on a distinguished stratifiable subset of the domain. As an application, we outline how our results yield important consequences for a recently introduced class of stochastic processes, called the matrix-valued Bessel processes.
متن کاملStratifiable Maps and Topological Invariants
Let X and Y be spaces and I: X -+ Y be a map between them. Then a large family of problems in topology (and geometry) involve the attempt to relate the invariants of X and Y via I. This attempt has been successful often for the case X and Y manifolds and I the projection of a fibre bundle, for many types of important invariants. For example, the result of ChernHirzebruch-Serre [CHS] asserts tha...
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: 1970
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1970-0250266-7