Results 11 to 20 of about 9,544 (144)
On locally compact semitopological O-bisimple inverse ω-semigroups
We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
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An (L)-semigroup S is a compact n-manifold with connected boundary B together with a monoid structure on S such that B is a subsemigroup of S. The sum S + T of two (L)-semigroups S and T having boundary B is the quotient space obtained from the ...
John R. Martin
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Depleting the signal: Analysis of chemotaxis‐consumption models—A survey
Abstract We give an overview of analytical results concerned with chemotaxis systems where the signal is absorbed. We recall results on existence and properties of solutions for the prototypical chemotaxis‐consumption model and various variants and review more recent findings on its ability to support the emergence of spatial structures.
Johannes Lankeit, Michael Winkler
wiley +1 more source
Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture
Abstract We offer some theorems, mainly finiteness results, for certain patterns in elliptical billiards, related to periodic trajectories; these seem to be the first finiteness results in this context. For instance, if two players hit a ball at a given position and with directions forming a fixed angle in (0,π)$(0,\pi )$, there are only finitely many ...
Pietro Corvaja, Umberto Zannier
wiley +1 more source
On a topological simple Warne extension of a semigroup [PDF]
In the paper we introduce topological $\mathbb{Z}$-Bruck-Reilly and topological $\mathbb{Z}$-Bruck extensions of (semi)topological monoids which are generalizations of topological Bruck-Reilly and topological Bruck extensions of (semi)topological monoids
Fihel, Iryna+2 more
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Topological properties of C0 $C^{0}$-solution set for impulsive evolution inclusions
In this paper, we study the topological properties to a C0 $C^{0}$-solution set of impulsive evolution inclusions. The definition of C0 $C^{0}$-solutions for impulsive functional evolution inclusions is introduced.
Lu Zhang, Yong Zhou, Bashir Ahmad
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A perspective on non-commutative frame theory [PDF]
This paper extends the fundamental results of frame theory to a non-commutative setting where the role of locales is taken over by \'etale localic categories.
Kudryavtseva, Ganna, Lawson, Mark V.
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A note on quasi R*-invariant measures on semigroups
A characterization of quasi r*-invariant measures on metric topological semigroups is obtained by showing that their support has a left group structure thus generalizing previously known results for relatively r*-invariant measures and the topo-algebraic
N. A. Tserpes
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On representation of semigroups of inclusion hyperspaces
Given a group $X$ we study the algebraic structure of the compact right-topological semigroup $G(X)$ consisting of inclusion hyperspaces on $X$. This semigroup contains the semigroup $\lambda(X)$ of maximal linked systems as a closed subsemigroup.
V. M. Gavrylkiv
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Non-commutative Stone duality: inverse semigroups, topological groupoids and C*-algebras [PDF]
We study a non-commutative generalization of Stone duality that connects a class of inverse semigroups, called Boolean inverse $\wedge$-semigroups, with a class of topological groupoids, called Hausdorff Boolean groupoids. Much of the paper is given over
Lawson, Mark V
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