Results 21 to 30 of about 151,084 (121)
On the probabilistic metrizability of approach spaces [PDF]
Topology and its ApplicationsWe investigate approach spaces generated by probabilistic metric spaces with respect to a continuous t-norm $*$ on the unit interval $[0,1]$. Let $k^*$ be the supremum of the idempotent elements of $*$ in $[0,1)$. It is shown that if $k^*=1$ (resp. $k^*
Hongliang Lai, Lili Shen, Junche Yu
semanticscholar +1 more source
The Entropy of Co-Compact Open Covers
Entropy, 2013 Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space (compactness and metrizability are not necessarily required).
Steven Bourquin +4 more
doaj +1 more source
Projective Metrizability and Formal Integrability [PDF]
, 2011 The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented curves.
Bucataru, Ioan, Muzsnay, Zoltán
core +6 more sources
Metric characterization of connectedness for topological spaces [PDF]
, 2014 Connectedness, path connectedness, and uniform connectedness are well-known concepts. In the traditional presentation of these concepts there is a substantial difference between connectedness and the other two notions, namely connectedness is defined as ...
Weiss, Ittay
core +1 more source
Compact-star networks and the images of metric spaces under C-mappings
, 2020 A sequence { P n } n ∈ N of covers of a space X is called a compact-star network of X if for each open set U of X and each compact subset K ⊂ U , there is an n ∈ N such that st ( K , P n ) ⊂ U . In this paper, cs-metrizable spaces and k-metrizable spaces
Shou Lin, Y. Ge, Xiangeng Zhou
semanticscholar +1 more source
Locally compact convergence groups and n-transitive actions [PDF]
, 2012 All sigma-compact, locally compact groups acting sharply n-transitively and continuously on compact spaces M have been classified, except for n=2,3 when M is infinite and disconnected. We show that no such actions exist for n=2 and that these actions for
Carette, Mathieu, Dreesen, Dennis
core +1 more source
Generalized metric properties of spheres and renorming of Banach spaces [PDF]
RACSAM, 2016 We study the equivalence under renorming of several geometric and topological properties of the unit sphere of a Banach space with respect to weak topologies.
S. Ferrari, J. Orihuela, M. Raja
semanticscholar +1 more source
Metrization of additive 𝜅-metric spaces [PDF]
Proceedings of the American Mathematical Society, 1987 We prove that an additive κ \kappa -metric space X X is metrizable if X X is one of the following: (1) X X is pseudocompact, (2) X X is a w M wM -space, (3) X X is a paracompact β \beta -space ...
openaire +1 more source
, 2013 We study the concept of cone metric space in the context of ordered vector spaces by setting up a general and natural framework for it.Comment: 10 ...
Ercan, Zafer, Çağlar, Mert
core +1 more source
Fixed Point Dynamics in a New Type of Contraction in b-Metric Spaces
SymmetrySince the topological properties of a b-metric space (which generalizes the concept of a metric space) seem sometimes counterintuitive due to the fact that the “open” balls may not be open sets, we review some aspects of these spaces concerning ...
M. Navascués, R. Mohapatra
semanticscholar +1 more source