Functor of extension in Hilbert cube and Hilbert space [PDF]
Open Mathematics, 2014 A $Z$-set in a metric space $X$ is a closed subset $K$ of $X$ such that each map of the Hilbert cube $Q$ into $X$ can uniformly be approximated by maps of $Q$ into $X \setminus K$. The aim of the paper is to show that there exists a functor of extension of maps between $Z$-sets of $Q$ [or $l_2$] to maps acting on the whole space $Q$ [resp.
Piotr Niemiec
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Phantom Study on the Robustness of MR Radiomics Features: Comparing the Applicability of 3D Printed and Biological Phantoms [PDF]
Diagnostics, 2022 The objectives of our study were to (a) evaluate the feasibility of using 3D printed phantoms in magnetic resonance imaging (MR) in assessing the robustness and repeatability of radiomic parameters and (b) to compare the results obtained from the 3D ...
Gergő Veres +7 more
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Superradiance and Broadband Emission Driving Fast Electron Dephasing in Open Quantum Systems. [PDF]
Adv Sci (Weinh)We uncover the physical origin of ultrafast electron dephasing in solid‐state high‐harmonic generation by simulating the Lindblad equation for the dissipative Hubbard model. Coexistence of Dicke superradiance and broadband emission is revealed, whose destructive interference shortens the effective scattering time and provides a unified picture of ...
Bae G, Kim Y, Lee JD.
europepmc +2 more sources
A Hilbert cube compactification of the function space with the compact-open topology
Open Mathematics, 2009 Katsuro Sakai
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Tag-systems for the Hilbert curve [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 Hilbert words correspond to finite approximations of the Hilbert space filling curve. The Hilbert infinite word H is obtained as the limit of these words. It gives a description of the Hilbert (infinite) curve.
Patrice Séébold
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Continua whose hyperspace of subcontinua is infinite dimensional and a cone
Extracta Mathematicae, 2023 We determine several classes of continua whose hyperspaces of subcontinua are infinite dimensional and homeomorphic to cones over (usually) other continuum. In particular, we obtain many Peano continua with such a property.
S. Macías, S.B. Nadler
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On homotopically dense subspaces of the space of complete linked systems
Вестник Самарского университета: Естественнонаучная серия, 2023 This article discusses the topological and geometric properties of the set of coupled systems and the properties of its subspaces that are homotopically dense.
Mikhail V. Dolgopov +1 more
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Branching Geodesics of the Gromov-Hausdorff Distance
Analysis and Geometry in Metric Spaces, 2022 In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
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Asymptotic properties of the (convex) hyperspaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 It is known that the hyperspaces of compact sets and compact convex set of the Euclidean space $\mathbb R^n$, $n\ge2$, both are homeomorphic to the puctured Hilbert cube.
Mykhailo Zarichnyi, Mykhailo Romanskyi
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Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees [PDF]
Logical Methods in Computer Science, 2015 We study the computational difficulty of the problem of finding fixed points of nonexpansive mappings in uniformly convex Banach spaces. We show that the fixed point sets of computable nonexpansive self-maps of a nonempty, computably weakly closed ...
Eike Neumann
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