Results 21 to 30 of about 307 (168)
A Rim-Metrizable Continuum [PDF]
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
The fundamental theorem of asset pricing with and without transaction costs
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
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
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
We introduce the notion of echeloned spaces – an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morphisms between metrizable echeloned spaces are uniformly continuous or have
Maxime Gheysens +4 more
doaj +1 more source
sn-metrizable spaces and related matters
We give a mapping theorem on sn-metrizable spaces, discuss relationships among spaces with point-countable sn-networks, spaces with uniform sn-networks, spaces with locally countable sn-networks, spaces with σ-locally countable sn-networks, and sn ...
Zhiming Luo
doaj +1 more source
The Functional Delta Method for Deriving Asymptotic Distributions
The distribution of the scaled difference between the plug‐in estimator Tθ̂n$$ T\left({\hat{\boldsymbol{\theta}}}_n\right) $$ and the true parameter Tθ0$$ T\left({\boldsymbol{\theta}}_0\right) $$ is approximated by the distribution of the scaled difference between θ̂n$$ {\hat{\boldsymbol{\theta}}}_n $$ and θ0$$ {\boldsymbol{\theta}}_0 $$ and a ...
Eric Beutner
wiley +1 more source
The Bing plane and separately continuous mappings (in Ukrainian) [PDF]
We prove that the Bing plane $mathbb{B}$ is a$sigma$-metrizable but not strongly $sigma$-metrizable. Alsowe show that for $c$-connected topological spaces $X$ and $Y$each separately continuous function $fcolon Ximes Yomathbb{B}$ is constant.
O. O. Karlova +2 more
doaj
A characterisation of snowflakes via rectifiability
Abstract We prove a generalisation to every metric space of Tyson–Wu's characterisation of metric spaces biLipschitz equivalent to snowflakes, by removing compactness, doubling and embeddability assumptions. We also characterise metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non‐trivial metric 1‐currents in ...
Emanuele Caputo, Nicola Cavallucci
wiley +1 more source
Free Subspaces of Free Locally Convex Spaces
If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
doaj +1 more source

