Results 61 to 70 of about 14,246,372 (112)
Beilinson conjecture for finite-dimensional associative algebras
We propose a non-commutative generalization of Beilinson's Conjecture on the regulator map from algebraic K-theory to Deligne cohomology of algebraic varieties over Q.
Kaledin, D.
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Remainders in compactifications of semitopological and paratopological groups
In this paper, the authors mainly discuss the remainders of semitopological and paratopological groups. The authors show that if the Hausdorff compactification \(bG\) of a non-locally compact semitopological \(G\) has a remainder with a locally a point-countable base, then \(bG\) is separable and metrizable, which gives a positive answer to a question ...
Xie, Li-Hong, Li, Piyu, Lin, Shou
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Cohomology in Grothendieck Topologies and Lower Bounds in Boolean Complexity
This paper is motivated by questions such as P vs. NP and other questions in Boolean complexity theory. We describe an approach to attacking such questions with cohomology, and we show that using Grothendieck topologies and other ideas from the ...
Friedman, Joel
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Regular semitopological groups of every countable sequential order
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Semitopological isomorphism of topological groups
The author, in a previous paper, has introduced the notion of semitopological isomorphism between topological groups. In the present paper a criterion is given for a continuous isomorphism to be semitopological. It is shown that the property of an isomorphism to be semitopological is preserved by the operations of taking subgroups, quotient groups and ...
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On some properties of PR (Pm)-factorizable semitopological groups
In this article, we introduce the notions of (R?,FM1SG) ((MS,FM1SG))-factorizability and (R?, SCSG) ((MS, SCSG))-factorizability. In the second part of this article, we study the relationship between (R?,PSG)-factorizability and (MS,PSG)-factorizability.
Liang-Xue Peng, Ying Wang
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Every regular countably sieve-complete semitopological group is a topological group
In this note, we firstly discuss some properties of spaces which are countably sieve-complete, densely q-complete and strongly Baire. By some known conclusions, we finally show that if G is a regular countably sieve-complete semitopological group then G is a topological group. If a regular semitopological group G has a dense subgroup which is countably
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The group of characters of a pseudocompact locally compact semitopological semigroup
We prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with open shifts is discrete.
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On semitopological comopactifications of non-abelian groups
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Notes on (regular) T3-reflections in the category of semitopological groups
L. Xie, Piyu Li, Jin-Ji Tu
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