نتایج جستجو برای: alexandrov l topology
تعداد نتایج: 683211 فیلتر نتایج به سال:
In this paper we prove that a strictly convex Alexandrov solution u of the Monge-Ampère equation, with right hand side bounded away from zero and infinity, is W 2,1 loc . This is obtained by showing higher integrability a-priori estimates for Du, namely Du ∈ L log L for any k ∈ N.
$L$-fuzzy rough sets are extensions of the classical rough sets by relaxing theequivalence relations to $L$-relations. The topological structures induced by$L$-fuzzy rough sets have opened up the way for applications of topological factsand methods in granular computing. In this paper, we firstly prove thateach arbitrary $L$-relation can generate an Alexandrov $L$-topology.Based on this fact, w...
This manuscript studies manifolds-with-boundary collapsing in the Gromov-Hausdorff topology. The main aim is an understanding of the relationship of the topology and geometry of a limiting sequence of manifolds-with-boundary to that of a limit space, which is presumed to be without geodesic terminals. The main result establishes a disc bundle structure for any manifold-with-boundary having two-...
M. Barczyc, D. Burckhart-Chromek, M. Caprini, J. Da Silva Conceicao, M. Dobson, J. Flammer, R. Jones, A. Kazarov, S. Kolos, D. Liko, L. Mapelli, and I.Soloviev CERN, Geneva, Switzerland R. Hart NIKHEF, Amsterdam, Netherlands A. Amorim, D. Klose, J. Lima, L. Lucio, and L. Pedro CFNUL/FCUL, Universidade de Lisboa, Portugal H. Wolters UCP Figueira da Foz, Portugal E. Badescu NIPNE, Bucharest, Roma...
In this paper, we investigate the properties of Alexandrov fuzzy topologies and join-meet approximation operators. We study fuzzy preorder, Alexandrov topologies join-meet approximation operators induced by Alexandrov fuzzy topologies. We give their examples.
This paper introduces a new approach to topology, based on category theory and universal algebra, and called categorically-algebraic (catalg) topology. It incorporates the most important settings of lattice-valued topology, including poslat topology of S.~E.~Rodabaugh, $(L,M)$-fuzzy topology of T.~Kubiak and A.~v{S}ostak, and $M$-fuzzy topology on $L$-fuzzy sets of C.~Guido. Moreover, its respe...
we study different completeness definitions for two categories of lattice-valued cauchy spaces and the relations between these definitions. we also show the equivalence of a so-called completion axiom and the existence of a completion.
Here I show compatibility of two definition of generalized curvature bounds — the lower bound for sectional curvature in the sense of Alexandrov and lower bound for Ricci curvature in the sense of Lott–Villani– Sturm. Introduction Let me denote by CD[m, κ] the class of metric-measure spaces which satisfy a weak curvature-dimension condition for dimension m and curvature κ (see preliminaries). B...
this paper introduces a new approach to topology, based on category theory and universal algebra, and called categorically-algebraic (catalg) topology. it incorporates the most important settings of lattice-valued topology, including poslat topology of s.~e.~rodabaugh, $(l,m)$-fuzzy topology of t.~kubiak and a.~v{s}ostak, and $m$-fuzzy topology on $l$-fuzzy sets of c.~guido. moreover, its respe...
in this paper the concept of metacompactness in l-topologicalspaces is introduced by means of point finite families of l-fuzzy sets. thisfuzzy metacompactness is a natural generalization of lowen fuzzy compactness.further a characterization of fuzzy metacompactness in the weakly inducedl-topological spaces is also obtained.
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