Results 51 to 60 of about 972 (114)
Bornologies, selection principles and function spaces
Topology and its Applications, 2012 11 ...
CASERTA, Agata +2 more
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Bornologies and bitopological function spaces
Filomat, 2013 The aim of this paper is to study certain closure-type properties of function spaces over metric spaces endowed with two topologies: the topology of uniform convergence on a bornology and the topology of strong uniform convergence on a bornology. The study of function spaces with the strong uniform topology on a bornology was initiated by G. Beer and S.
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Smooth group representations on bornological vector spaces
Bulletin des Sciences Mathématiques, 2004 We develop the basic theory of smooth representations of locally compact groups on bornological vector spaces. In this setup, we are able to formulate better general theorems than in the topological case. Still, smooth representations of totally disconnected groups on vector spaces and of Lie groups on Frechet spaces remain special cases of our theory.
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The Singularity Theorems of General Relativity and Their Low Regularity Extensions. [PDF]
Jahresber Dtsch Math Ver, 2023 Steinbauer R.
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Quotients of Quantum Bornological Spaces
Taiwanese Journal of Mathematics, 2011 In the note we investigate the main duality properties of quantum (or local operator) spaces involving quantum bornology. Namely, we prove that each finite complete bornology admits precisely one quantization and each complete quantum space is a matrix bornology quotient of a local trace class algebra.
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, 2017 We propose the notion of a coarse cohomology theory and study the examples of coarse ordinary cohomology, coarse stable cohomotopy and coarse cohomology theories obtained by dualizing coarse homology theories.
Bunke, Ulrich, Engel, Alexander
core
Order bornological spaces and order ultrabornological spaces
, 2015 arXiv admin note: text overlap with arXiv:1504 ...
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The coarse index class with support
, 2017 We construct the coarse index class with support condition (as an element of coarse $K$-homology) of an equivariant Dirac operator on a complete Riemannian manifold endowed with a proper, isometric action of a group.
Bunke, Ulrich, Engel, Alexander
core
Seperation properties in categories of Prebornological spaces and Bornological spaces
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1992 Summary: An explicit characterization of each of the separation properties \(T_0\), \(T_1\), \(\text{Pre }T_2\), and \(T_2\) is given in the topological categories of prebornological spaces and bornological spaces. Moreover, specific relationships that arise among the various \(T_0\), \(\text{Pre }T_2\), and \(T_2\) structures are examined in these ...
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TOPOLOGICAL VECTOR SPACES OF CONTINUOUS FUNCTIONS. [PDF]
Proc Natl Acad Sci U S A, 1954 Nachbin L.
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