Results 51 to 60 of about 979 (94)
Orbifold cup products and ring structures on Hochschild cohomologies
In this paper we study the Hochschild cohomology ring of convolution algebras associated to orbifolds, as well as their deformation quantizations. In the first case the ring structure is given in terms of a wedge product on twisted polyvectorfields on ...
Pflaum, M. J. +3 more
core
Smooth group representations on bornological vector spaces
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.
openaire +4 more sources
The Singularity Theorems of General Relativity and Their Low Regularity Extensions. [PDF]
Steinbauer R.
europepmc +1 more source
Quotients of Quantum Bornological Spaces
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.
openaire +2 more sources
Homotopy theory with bornological coarse spaces
We propose an axiomatic characterization of coarse homology theories defined on the category of bornological coarse spaces. We construct a category of motivic coarse spectra. Our focus is the classification of coarse homology theories and the construction of examples.
Bunke, Ulrich, Engel, Alexander
openaire +2 more sources
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
arXiv admin note: text overlap with arXiv:1504 ...
openaire +2 more sources
The coarse index class with support
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
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 ...
openaire +4 more sources
TOPOLOGICAL VECTOR SPACES OF CONTINUOUS FUNCTIONS. [PDF]
Nachbin L.
europepmc +1 more source

