Results 111 to 120 of about 489,003 (220)
When is the Isbell topology a group topology?
Topology and its Applications, 2010 Conditions on a topological space $X$ under which the space $C(X,\mathbb{R})$ of continuous real-valued maps with the Isbell topology $ $ is a topological group (topological vector space) are investigated. It is proved that the addition is jointly continuous at the zero function in $C_ (X,\mathbb{R})$ if and only if $X$ is infraconsonant.
Dolecki, Szymon, Mynard, Frédéric D.
openaire +4 more sources
Minimum Topological Group Topologies [PDF]
arXiv, 2015 A Hausdorff topological group topology on a group $G$ is the minimum (Hausdorff) group topology if it is contained in every Hausdorff group topology on $G$. For every compact metrizable space $X$ containing an open $n$-cell, $n\ge2$, the homeomorphism group $H(X)$ has no minimum Hausdorff group topology.
arxiv
Weak fuzzy topology on fuzzy topological vector spaces [PDF]
arXiv, 2019 In this paper, we introduce the concept of weak fuzzy linear topology on a fuzzy topological vector space as a generalization of usual weak topology. We prove that this topology consists of all weakly lower semi-continuous fuzzy sets on a given vector space when K (R or C) considered with its usual fuzzy topology.
arxiv
Transformations from a linear space with weak topology [PDF]
, 1952 Ernest Michael
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The Kibble-Zurek mechanism at exceptional points
Nature Communications, 2019 Universal non-equilibrium behaviour can emerge in physical systems when they are driven through a parameter regime where their energy gap closes. Dóra et al.
Balázs Dóra +2 more
doaj +1 more source
TOPOLOGICAL LOCALISATION OF DEFECTS AT ATOMIC SCALE
Image Analysis and Stereology, 2011 The problem addressed in this paper is the detection of defects on atomic structures. The procedure proposed is in two steps. At first a tessellation is built starting from the atoms.
Jean-Paul Jernot +4 more
doaj +1 more source
On the $\sigma$-weak topology of $W^ *$-algebras [PDF]
, 1956 Shôichirô Sakai
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The Astrophysical JournalModern cosmology presents important challenges such as the Hubble Tension, El Gordo’s collision, or the impossible galaxies ( z > 10). Slight modifications to the standard model propose new parameters (e.g., the early and dynamical dark energy).
Robert Monjo
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Thermodynamics and quantum cosmology -- Continuous topological evolution of topologically coherent defects [PDF]
arXiv, 2006 As a point of departure it is suggested that Quantum Cosmology is a topological concept independent from metrical constraints. Methods of continuous topological evolution and topological thermodynamics are used to construct a cosmological model of the present universe, using the techniques based upon Cartan's theory of exterior differential systems ...
arxiv