Results 21 to 30 of about 137,540 (108)

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

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

Order-unit-metric spaces

, 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

Symmetry
Since 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. N. Mohapatra
semanticscholar   +1 more source

Metrizability of Cone Metric spaces

, 2011
9 ...
Asadi, Mehdi, Vaezpour, S. Mansour, Soleimani, Hossein   +2 more
openaire   +2 more sources

Complete partial metric spaces have partially metrizable computational models [PDF]

International Journal of Computer Mathematics, 2012
The authors acknowledge the support of the Spanish Ministry of Science and Innovation, under grant MTM2009-12872-C02-01.
Romaguera Bonilla, Salvador, Tirado Peláez, Pedro, Valero Sierra, Óscar   +2 more
openaire   +3 more sources

On bornology of extended quasi-metric spaces

Hacettepe Journal of Mathematics and Statistics, 2018
Beer studied the structure of sets equipped with the extended metrics with a focus on bornologies. In the paper [ A. Piekosz and E. Wajch, Quazi-metrizability of bornological biuniverses inZF, J. Convex Anal.
O. O. Otafudu, W. Toko, D. Mukonda
semanticscholar   +1 more source

(Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry

, 2019
Projective connections arise from equivalence classes of affine connections under the reparametrization of geodesics. They may also be viewed as quotient systems of the classical geodesic equation.
Manno, Gianni, Vollmer, Andreas
core   +1 more source

Limit Orders and Knightian Uncertainty

International Economic Review, EarlyView.
ABSTRACT A wide variety of financial instruments allows risk‐averse traders to reduce their exposure to risk. This raises the question of what financial instruments allow ambiguity‐averse traders to reduce their exposure to ambiguity. We show in this paper that price‐contingent orders, such as limit orders, are sufficient: In a two‐period trading model,
Michael Greinecker, Christoph Kuzmics
wiley   +1 more source

Simultaneous metrizability of coarse spaces

, 2011
A metric space can be naturally endowed with both a topology and a coarse structure. We examine the converse to this. Given a topology and a coarse structure we give necessary and sufficient conditions for the existence of a metric giving rise to both of
Wright, Nick
core   +1 more source