Results 41 to 50 of about 433 (82)
THE ORDERTOPOLOGY FOR FUNCTION LATTICES AND REALCOMPACTNESS
, 1981 A lattice K(X,Y) of continuous functlonson space X is associated to each compactlflcatlon Y of X. It is shown for K(X,Y) that the order topology is the topology of compact convergence on X if and only if X is realcompact in Y.
W. Feldman, J. Porter
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 687-692, 1994., 1994 In this paper we study θ‐regularity and its relations to other topological properties. We show that the concepts of θ‐regularity (Janković, 1985) and point paracompactness (Boyte, 1973) coincide. Regular, strongly locally compact or paracompact spaces are θ‐regular.
Martin M. Kovár
wiley +1 more source
𝓜𝓝-convergence and lim-inf𝓜-convergence in partially ordered sets
Open Mathematics, 2018 In this paper, we first introduce the notion of 𝓜𝓝-convergence in posets as an unified form of O-convergence and O2-convergence. Then, by studying the fundamental properties of 𝓜𝓝-topology which is determined by 𝓜𝓝-convergence according to the standard ...
Sun Tao, Li Qingguo, Fan Nianbai
doaj +1 more source
A quasitopos containing CONV and MET as full subcategories
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 417-438, 1988., 1987 We show that convergence spaces with continuous maps and metric spaces with contractions, can be viewed as entities of the same kind. Both can be characterized by a limit function λ which with each filter ℱ associates a map λℱ from the underlying set to the extended positive real line. Continuous maps and contractions can both be characterized as limit
E. Lowen, R. Lowen
wiley +1 more source
Reflecting Lindel\"of and converging omega_1-sequences
, 2013 We deal with a conjectured dichotomy for compact Hausdorff spaces: each such space contains a non-trivial converging omega-sequence or a non-trivial converging omega_1-sequence. We establish that this dichotomy holds in a variety of models; these include
Dow, Alan, Hart, Klaas Pieter
core +1 more source
A maximal chain approach to topology and order
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 465-472, 1988., 1987 On ordered sets (posets, lattices) we regard topologies (or, more general convergence structures) which on any maximal chain of the ordered set induce its own interval topology. This construction generalizes several well‐known intrinsic structures, and still contains enough to produce interesting results on for instance compactness and connectedness ...
R. Vainio
wiley +1 more source
On SI2-convergence in T0-spaces
Open MathematicsRecently, Shen et al. showed that the SI2-topology on a T0{T}_{0}-space can be described completely in terms of SI2-convergence, and the SI2-convergence is topological whenever the given space is SI2-continuous.
Yang Yi, Xu Xiaoquan
doaj +1 more source
On I-convergence of nets of functions in fuzzy metric spaces
Open MathematicsIn this paper, we introduce ideal versions of semi-α convergence, semi-exhaustiveness and semi uniform convergence of nets of functions between two fuzzy metric spaces, and obtain some properties of them.
Zhong Lingsheng +2 more
doaj +1 more source
Characterizations of the Ideal Core
, 2019 Given an ideal $\mathcal{I}$ on $\omega$ and a sequence $x$ in a topological vector space, we let the $\mathcal{I}$-core of $x$ be the least closed convex set containing $\{x_n: n \notin I\}$ for all $I \in \mathcal{I}$.
Leonetti, Paolo
core +1 more source
Can Standard Model Higgs Seed the Formation of Structures in Our Universe?
, 2013 We study the Standard Model Higgs field as a source for the primordial curvature perturbation, particularly in the curvaton and modulated reheating scenario.
A. Linde +5 more
core +1 more source