Results 151 to 160 of about 642,101 (319)

Estimating the gap of finite metric spaces of strict p-negative type [PDF]

arXiv, 2016
Let (X,d) be a finite metric space. This paper first discusses the spectrum of the p-distance matrix of a finite metric space of p-negative type and then gives upper and lower bounds for the so called gap of a finite metric space of strict p-negative type. Furthermore estimations for the gap under a certain glueing construction for finite metric spaces
arxiv  

Axiomatic definitions of perfectly separable metric spaces [PDF]

, 1933
Garrett Birkhoff
openalex   +1 more source

Survey on the Canonical Metrics on the Teichmüller Spaces and the Moduli Spaces of Riemann Surfaces [PDF]

arXiv
This thesis results from an intensive study on the canonical metrics on the Teichm\"{u}ller spaces and the moduli spaces of Riemann surfaces. There are several renowned classical metrics on $T_g$ and $\mathcal{M}_g$, including the Weil-Petersson metric, the Teichm\"{u}ller metric, the Kobayashi metric, the Bergman metric, the Carath\'{e}odory metric ...
arxiv  

Generalizations of Banach and Kannan Fixed point theorems in b_{v}(s) metric spaces [PDF]

arXiv, 2018
Generalizations of a metric space is one of the most important research areas in mathematics. In literature ,there are several generalized metric spaces. The latest generalized metric space is b_{v}(s) metric space which is introduced by Mitrovic and Radenovic in 2017. In this paper, we prove Kannan fixed point theorem and generalize Banach fixed point
arxiv  

Quadratic Diameter of a Metric Space and its Application to a Problem in Analysis [PDF]

, 1952
Shizuo Kakutani
openalex   +1 more source

Metric 1-spaces [PDF]

arXiv, 2012
A generalization of metric space is presented which is shown to admit a theory strongly related to that of ordinary metric spaces. To avoid the topological effects related to dropping any of the axioms of metric space, first a new, and equivalent, axiomatization of metric space is given which is then generalized from a fresh point of view.
arxiv  

Fibred spaces with projectable Riemannian metric [PDF]

, 1967
Kentarô Yano, Shigeru Ishihara
openalex   +1 more source

Conformal Group and Its Connection with an Indefinite Metric in Hilbert Space [PDF]

, 1965
H.A. Kastrup
openalex   +1 more source

Currents in metric spaces [PDF]

Acta Mathematica, 2000
AMBROSIO, Luigi, KIRCHHEIM BERND
openaire   +4 more sources

The magnitude of metric spaces

Documenta Mathematica, 2013
Magnitude is a real-valued invariant of metric spaces, analogous to Euler characteristic of topological spaces and cardinality of sets. The definition of magnitude is a special case of a general categorical definition that clarifies the analogies between cardinality-like invariants in mathematics.
openaire   +2 more sources