Compactness and local compactness of the proximal hyperspace
نویسندگان
چکیده
منابع مشابه
A footnote on local compactness
A standard example of an impredicative definition is that of the way-below relation [11], and thus of local compactness in (point-free) topology [6]. Local compactness can be dealt with predicatively as in [8], [5]; the particularly convenient re-formulation to be presented is based on a recent result by Peter Aczel [2], and on the observation that, in set-presented topologies, the way-below re...
متن کاملLocal Compactness in Approach Spaces Ii
This paper studies the stability properties of the concepts of local compactness introduced by the authors in 1998. We show that all of these concepts are stable for contractive, expansive images and for products. 1. Introduction. Having introduced notions of local compactness, basis local compactness and related measures, and having studied the basic relationship among these concepts in [3], i...
متن کاملLocal Compactness in L-Fuzzy Spaces
In an L-topological space we present good definitions for local compactness, weak local compactness and relative local compactness. We obtain the equivalence of these properties in a Hausdorff space and we also obtain a one point compactification theorem.
متن کاملOn local non-compactness in recursive mathematics
A metric space is said to be locally non-compact if every neighborhood contains a sequence that is bounded away from every element of the space, hence contains no accumulation point. We show within recursive mathematics that a nonvoid complete metric space is locally non-compact iff it is without isolated points. The result has an interesting consequence in computable analysis: If a complete me...
متن کاملSemi compactness and semi-I-compactness in ditopological texture spaces
In this paper we generalize the notion of Semi-continuity and MS-continuity and go on to study Semi-compactness, Semi-cocompactness, Semi-stability and Semi-costability in a ditopological texture space. We also extends the notion of Semi-compactness and Semi-cocompactness to a ditopological texture space modulo an ideal [13].
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: Hacettepe Journal of Mathematics and Statistics
سال: 2016
ISSN: 1303-5010
DOI: 10.15672/hjms.20164515689