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pro vyhledávání: '"hyperspaces"'
Building on our prior work on axiomatization of exact real computation by formalizing nondeterministic first-order partial computations over real and complex numbers in a constructive dependent type theory, we present a framework for certified comput
Externí odkaz:
http://arxiv.org/abs/2410.13508
Publikováno v:
Applied General Topology, Vol 25, Iss 2, Pp 385-406 (2024)
Given a metric continuum X, we consider the collection of all regular subcontinua of X and the collection of all meager subcontinua of X, these hyperspaces are denoted by D(X) and M(X), respectively. It is known that D(X) is compact if and only if D(
Externí odkaz:
https://doaj.org/article/cdd3c136765c40f49c0908b5da1b4e52
Autor:
Ludvík, Pavel, Andres, Jan
We will consider various definitions of topological entropy for multivalued nonautonomous dynamical systems in compact Hausdorff spaces. Some of them can deal with arbitrary multivalued maps, i.e. when no restrictions are imposed on them. For upper s
Externí odkaz:
http://arxiv.org/abs/2406.16580
Autor:
Barría, Sebastián
Let $\mathbb{A}$ and $\mathbb{S}$ denote the double arrow of Alexandroff and the Sorgenfrey line, respectively. We show that for any $n\geq 1$, the space of all unions of at most $n$ closed intervals of $\mathbb{A}$ is not homogeneous. We also prove
Externí odkaz:
http://arxiv.org/abs/2404.13741
Publikováno v:
AppliedMath, Vol 4, Iss 3, Pp 975-985 (2024)
Mathematician and philosopher Charles Howard Hinton posited a plausible correlation between higher-dimensional spaces, also referred to as ‘hyperspaces’, and the allegorical concept articulated by the Ancient Greek philosopher Plato in his work,
Externí odkaz:
https://doaj.org/article/fd45c494c887411a8f2e99052a9c0d9b
Akademický článek
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We consider the Vietoris hyperspaces $\mathcal S(\mathbb R^n)$ of simple closed curves in $\mathbb R^n$, $n=2,3$, and their subspaces $\mathcal S_P(\mathbb R^2)$ of planar simple closed polygons, $\mathcal K_P$ of polygonal knots, and $\mathcal K_T$
Externí odkaz:
http://arxiv.org/abs/2401.13084
Akademický článek
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