Results 21 to 30 of about 16,588 (195)
A metrizable semitopological semilattice with non-closed partial order
Topological Algebra and its Applications, 2020 We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff ...
Banakh Taras +2 more
doaj +1 more source
Lipschitz groups and Lipschitz maps [PDF]
International Journal of Group Theory, 2017 This contribution mainly focuses on some aspects of Lipschitz groups, i.e., metrizable groups with Lipschitz multiplication and inversion map. In the main result it is proved that metric groups, with a translation-invariant metric, may be ...
Laurent Poinsot
doaj +1 more source
Automatic continuity for homomorphisms into free products
, 2013 A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is shown to be continuous with respect to the discrete topology on the range.
Slutsky, Konstantin
core +1 more source
Spaces of measurable functions
, 2011 For a metrizable space $X$ and a finite measure space $(\Omega,\mathfrak{M},\mu)$ let $M_{\mu}(X)$ and $M^f_{\mu}(X)$ be the spaces of all equivalence classes (under the relation of equality almost everywhere mod $\mu$) of $mathfrak{M}$-measurable ...
Niemiec, Piotr
core +1 more source
A Rim-Metrizable Continuum [PDF]
Proceedings of the American Mathematical Society, 1995 A locally connected rim-metrizable continuum is constructed which admits a continuous mapping onto a non rim-metrizable space.
Nikiel, J. +2 more
openaire +1 more source
Metrizable universal minimal flows of Polish groups have a comeagre orbit
, 2017 We prove that, whenever $G$ is a Polish group with metrizable universal minimal flow $M(G)$, there exists a comeagre orbit in $M(G)$. It then follows that there exists an extremely amenable, closed, coprecompact $G^*$ of $G$ such that $M(G) = \hat{G/G^*}$
Melleray, Julien +2 more
core +2 more sources
The fundamental theorem of asset pricing with and without transaction costs
Mathematical Finance, Volume 35, Issue 2, Page 567-609, April 2025.Abstract We prove a version of the fundamental theorem of asset pricing (FTAP) in continuous time that is based on the strict no‐arbitrage condition and that is applicable to both frictionless markets and markets with proportional transaction costs. We consider a market with a single risky asset whose ask price process is higher than or equal to its ...
Christoph Kühn
wiley +1 more source
Connected metrizable subtopologies and partitions into copies of the Cantor set
Applied General Topology, 2006 We prove under Martin’s Axiom that every separable metrizable space represented as the union of less than 2 ω zero-dimensional compact subsets is zero-dimensional. On the other hand, we show in ZFC that every separable completely metrizable space without
Irina Druzhinina
doaj +1 more source
Metrizable linear connections in a Lie algebroid [PDF]
, 2010 A linear connection $D$ in a Lie algebroid is said to be metrizable if there exists a Riemannian metric $h$ in the Lie algebroid such that $Dh=0$. Conditions for the linear connection $D$ to be metrizable are investigated.Comment: p.10, no figures ...
Anastasiei, Mihai
core
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source