Local analysis for semi-bounded groups

Pantelis E. Eleftheriou

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Displaying similar documents to “Local analysis for semi-bounded groups”

Homeomorphism between semi- $T_{D}$ spaces

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A note on semihomeomorphism between semi $T_{D}$ spaces

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On pairwise semi $R_{0}$ and pairwise semi $R_{1}$ bitopological spaces

M. Jelić (1982)

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Some generalisations of $T_{D}$ spaces

S. P. Arya, M. P. Bhamini (1982)

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Symmetry classes of tensors associated with the semi-dihedral groups $S D_{8 n}$

Mahdi Hormozi, Kijti Rodtes (2013)

Colloquium Mathematicae

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We discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups $S D_{8 n}$ . In particular, a necessary and sufficient condition for the existence of such a basis associated with $S D_{8 n}$ and degree two characters is given.

Finite-dimensional twisted group algebras of semi-wild representation type

Leonid F. Barannyk (2010)

Colloquium Mathematicae

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Let G be a finite group, K a field of characteristic p > 0, and $K^{λ} G$ the twisted group algebra of G over K with a 2-cocycle λ ∈ Z²(G,K*). We give necessary and sufficient conditions for $K^{λ} G$ to be of semi-wild representation type in the sense of Drozd. We also introduce the concept of projective K-representation type for a finite group (tame, semi-wild, purely semi-wild) and we exhibit finite groups of each type.

A Local Limit Theorem on the Semi-Direct Product of $ℝ^{* +}$ and $ℝ^{d}$

Emile Le Page, Marc Peigne (1994)

Publications mathématiques et informatique de Rennes

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Some results on semi-total signed graphs

Deepa Sinha, Pravin Garg (2011)

Discussiones Mathematicae Graph Theory

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A signed graph (or sigraph in short) is an ordered pair $S = (S^{u}, σ)$ , where $S^{u}$ is a graph G = (V,E), called the underlying graph of S and σ:E → +, - is a function from the edge set E of $S^{u}$ into the set +,-, called the signature of S. The ×-line sigraph of S denoted by $L_{\times} (S)$ is a sigraph defined on the line graph $L (S^{u})$ of the graph $S^{u}$ by assigning to each edge ef of $L (S^{u})$ , the product of signs of the adjacent edges e and f in S. In this paper, first we define semi-total line sigraph and semi-total point sigraph...

Some properties of the topology of $α$ -sets

D. Andrijević (1984)

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Some approximation problems in semi-algebraic geometry

Shmuel Friedland, Małgorzata Stawiska (2015)

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In this paper we deal with a best approximation of a vector with respect to a closed semi-algebraic set C in the space ℝⁿ endowed with a semi-algebraic norm ν. Under additional assumptions on ν we prove semi-algebraicity of the set of points of unique approximation and other sets associated with the distance to C. For C irreducible algebraic we study the critical point correspondence and introduce the ν-distance degree, generalizing the notion developed by other authors for the Euclidean...

Semi-monotone sets

Saugata Basu, Andrei Gabrielov, Nicolai Vorobjov (2013)

Journal of the European Mathematical Society

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A coordinate cone in $ℝ^{n}$ is an intersection of some coordinate hyperplanes and open coordinate half-spaces. A semi-monotone set is an open bounded subset of $ℝ^{n}$ , definable in an o-minimal structure over the reals, such that its intersection with any translation of any coordinate cone is connected. This notion can be viewed as a generalization of convexity. Semi-monotone sets have a number of interesting geometric and combinatorial properties. The main result of the paper is that every semi-monotone...

Natural operators on frame bundles

Krupka, Michal

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Let $F_{1}$ be a natural bundle of order $r_{1}$ ; a basis of the $s$ -th order differential operators of $F_{1}$ with values in $r_{2}$ -th order bundles is an operator $D$ of that type such that any other one is obtained by composing $D$ with a suitable zero-order operator. In this article a basis is found in the following two cases: for $F_{1} = semi F^{r_{1}}$ (semi-holonomic $r_{1}$ -th order frame bundle), $s = 0$ , $r_{2} < r_{1}$ and $F_{1} = F^{1}$ ( $1$ -st order frame bundle), $r_{2} \leq s$ . The author uses here the so-called method of orbit reduction which provides one with a criterion...

Attractor of a semi-discrete Benjamin-Bona-Mahony equation on ℝ¹

Chaosheng Zhu (2015)

Annales Polonici Mathematici

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This paper is concerned with the study of the large time behavior and especially the regularity of the global attractor for the semi-discrete in time Crank-Nicolson scheme to discretize the Benjamin-Bona-Mahony equation on ℝ¹. Firstly, we prove that this semi-discrete equation provides a discrete infinite-dimensional dynamical system in H¹(ℝ¹). Then we prove that this system possesses a global attractor $_{τ}$ in H¹(ℝ¹). In addition, we show that the global attractor $_{τ}$ is regular, i.e., $_{τ}$ ...

On homotopy types of limits of semi-algebraic sets and additive complexity of polynomials

Sal Barone, Saugata Basu (2014)

Journal of the European Mathematical Society

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We prove that the number of distinct homotopy types of limits of one-parameter semi-algebraic families of closed and bounded semi-algebraic sets is bounded singly exponentially in the additive complexity of any quantifier-free first order formula defining the family. As an important consequence, we derive that the number of distinct homotopy types of semi-algebraic subsets of $ℝ^{k}$ defined by a quantifier-free first order formula $Φ$ , where the sum of the additive complexities of the polynomials...

On ${(R_{0})}_{s}$ -spaces

Maheshwari, S.N., Prasad, R. (1975)

Portugaliae mathematica

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Strongly automatic semigroups

Paul Mercat (2013)

Bulletin de la Société Mathématique de France

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Dans cet article, nous introduisons la notion de semi-groupe fortement automatique, qui entraîne la notion d’automaticité des semi-groupes usuelle. On s’intéresse particulièrement aux semi-groupes de développements en base $β$ , pour lesquels on obtient un critère de forte automaticité.

On the Davenport constant and group algebras

Daniel Smertnig (2010)

Colloquium Mathematicae

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For a finite abelian group G and a splitting field K of G, let (G,K) denote the largest integer l ∈ ℕ for which there is a sequence $S = g ₁ \cdot . . . \cdot g_{l}$ over G such that $(X^{g ₁} - a ₁) \cdot . . . \cdot (X^{g_{l}} - a_{l}) \neq 0 \in K [G]$ for all $a ₁, . . ., a_{l} \in K^{\times}$ . If (G) denotes the Davenport constant of G, then there is the straightforward inequality (G) - 1 ≤ (G,K). Equality holds for a variety of groups, and a conjecture of W. Gao et al. states that equality holds for all groups. We offer further groups for which equality holds, but we also give the first examples of groups G for...