(O-C)-compact Spaces and Hyperspaces Functor
نویسندگان
چکیده
منابع مشابه
Countably compact hyperspaces and Frolík sums
Let H 0(X) (H(X)) denote the set of all (nonempty) closed subsets of X endowed with the Vietoris topology. A basic problem concerning H(X) is to characterize those X for which H(X) is countably compact. We conjecture that u-compactness of X for some u ∈ ω∗ (or equivalently: all powers of X are countably compact) may be such a characterization. We give some results that point into this direction...
متن کاملUniform Properties and Hyperspaces of Metrizable Spaces
Two equivalent metrics can be compared, with respect to their uniform properties, in several different ways. We present some of them, and then use one of these conditions to characterize which metrics on a space induce the same lower Hausdorff topology on the hyperspace. Finally, we focus our attention to complete metrics.
متن کاملHyperspaces of Peano continua of euclidean spaces
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We prove that for n ≥ 3 the space L(R) is homeomorphic to B∞, where B denotes the pseudo-boundary of the Hilbert cube Q. Introduction. For a space X, C(X) denotes the hyperspace of all nonempty subcontinua of X. It is known that for a Peano continuum X without free arcs, C(X) ≈ Q, where Q denotes the H...
متن کاملTHE FUNCTOR A ON p-LOCAL SPACES
In a previous paper, the authors gave the finest functorial decomposition of the loop suspension of a p-torsion suspension. The purpose of this paper is to generalize this theorem to arbitrary p-local path connected spaces.
متن کاملFuzzifying Strongly Compact Spaces and Fuzzifying Locally Strongly Compact Spaces
In this paper, some characterizations of fuzzifying strong compactness are given, including characterizations in terms of nets and pre -subbases. Several characterizations of locally strong compactness in the framework of fuzzifying topology are introduced and the mapping theorems are obtained.
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: Bulletin of Science and Practice
سال: 2019
ISSN: 2414-2948
DOI: 10.33619/2414-2948/41/03