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Borel's Conjecture in Topological Groups
Rothberger bounded Borel Conjecture Kurepa Hypothesis Chang’s Conjecture n-huge cardinal
2011/9/21
Abstract: We introduce a natural generalization of Borel's Conjecture. For each infinite cardinal number $\kappa$, let {\sf BC}$_{\kappa}$ denote this generalization. Then ${\sf BC}_{\aleph_0}$ is equ...
Generalized Weyl-Wigner-Moyal Formalism and Topological Groups
Generalized Weyl-Wigner-Moyal Formalism Topological Groups
2011/2/28
Discussed are some geometric aspects of the phase space formalism in quantum mechanics in the sense of Weyl, Wigner, Moyal and Ville.We analyze the relationship between this formalism and geometry of ...
We construct some new cohomology theories for topological groups and Lie groups and study some of its basic properties. For example, we introduce a cohomology theory based on measurable cochains which...
Near Ultrafilters and Compactification of Topological Groups
Near Ultrafilters Topological Groups
2010/3/5
In this work we wiII construct LUC-compactification of a topological group in terms of the new concept of near ultrafilters.
