Results 71 to 80 of about 2,708 (144)

Metrizability of Adjunction Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
In a recent conversation with E. A. Michael and D. Hyman the following natural question was raised: Are the M-spaces of Hyman (see Definition 3.1) metrizable whenever they are first countable? We will answer this question affirmatively. Indeed, we will prove the somewhat stronger result that the M-spaces of Hyman are metrizable whenever they are of ...
openaire   +2 more sources

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Deformations of Anosov subgroups: Limit cones and growth indicators

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley   +1 more source

Metrizability of General ANR [PDF]

open access: yesProceedings of the American Mathematical Society, 1986
We show that every nonmetrizable ANR( P ) {\text {ANR(}}\mathcal {P}{\text {)}} contains a copy of a Tychonoff cube of uncountable weight. Hence, every finite dimensional ANR( P )
openaire   +1 more source

Advanced Manifold–Metric Pairs

open access: yesMathematics
This article presents a novel mathematical formalism for advanced manifold–metric pairs, enhancing the frameworks of geometry and topology. We construct various D-dimensional manifolds and their associated metric spaces using functional methods, with a ...
Pierros Ntelis
doaj   +1 more source

Use of Respiratory Protection Devices by Medical Students during the COVID-19 Pandemic. [PDF]

open access: yesInt J Environ Res Public Health, 2021
Shashina EA   +7 more
europepmc   +1 more source

Strong Metrizability for Closed Operators and the Semi-Fredholm Operators between Two Hilbert Spaces

open access: yesInternational Journal of Analysis and Applications, 2015
To be able to refine the completion of C(H1, H2), the of set all closed densely defined linear operators between two Hilbert spaces  H1 and H2, we define in this paper some new strictly stronger metrics than the gap metric g and we characterize the ...
Mohammed Benharrat, Bekkai Messirdi
doaj   +2 more sources

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