Results 101 to 110 of about 34,808 (248)
On cofree S-spaces and cofree S-flows
Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
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On the dimension of orthogonal projections of self‐similar measures
Abstract Let ν$\nu$ be a self‐similar measure on Rd$\mathbb {R}^d$, d⩾2$d\geqslant 2$, and let π$\pi$ be an orthogonal projection onto a k$k$‐dimensional subspace. We formulate a criterion on the action of the group generated by the orthogonal parts of the iterated function system on π$\pi$, and show that it ensures that the dimension of πν$\pi \nu$ is
Amir Algom, Pablo Shmerkin
wiley +1 more source
We introduce an interesting class of left adequate monoids which we call pretzel monoids. These, on the one hand, are monoids of birooted graphs with respect to a natural ‘glue-and-fold’ operation, and on the other hand, are shown to be defined in the category of left adequate monoids by a natural class of presentations.
Daniel Heath +2 more
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Garside monoids vs divisibility monoids [PDF]
Divisibility monoids (resp. Garside monoids) are a natural algebraic generalization of Mazurkiewicz trace monoids (resp. spherical Artin monoids), namely monoids in which the distributivity of the underlying lattices (resp. the existence of common multiples) is kept as an hypothesis, but the relations between the generators are not supposed to ...
openaire +3 more sources
On Almost Everywhere K-Additive Set-Valued Maps
Let X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there ...
Jabłońska Eliza
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A Variant of Jensen’s Functional Equation on Semigroups
We determine the solutions f : S → H of the following functional ...
Fadli Brahim +2 more
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A criterion of the existence of an embedding of a monothetic monoid into a topological group
Using properties of unitary Cauchy filters on monothetic monoids, we prove a criterion of the existence of an embedding of such a monoid into a topological group.
Averbukh Boris G.
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