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In this short article, some properties of matrices of moving least-squares approximation have been proven.The used technique is based on singular-value decomposition and inequalities for singular-values. Some inequalities for the norm of…

Numerical Analysis · Mathematics 2015-10-28 Svetoslav Nenov , Tsvetelin Tsvetkov

We introduce and study a new class of representations of surface groups into Lie groups of Hermitian type, called {\em weakly maximal} representations. We prove that weakly maximal representations are discrete and injective and we describe…

Differential Geometry · Mathematics 2016-01-13 Gabi Ben Simon , Marc Burger , Tobias Hartnick , Alessandra Iozzi , Anna Wienhard

In this paper, we determine new characterizations of nested and nested GVZ-groups, including character-free characterizations, but we additionally show that nested groups and nested GVZ-groups can be defined in terms of the existence of…

Group Theory · Mathematics 2019-10-04 Shawn T. Burkett , Mark L. Lewis

We give an explicit algebraic characterisation of all definable henselian valuations on a dp-minimal real field. Additionally we characterise all dp-minimal real fields that admit a definable henselian valuation with real closed residue…

Logic · Mathematics 2024-10-15 Lothar Sebastian Krapp , Salma Kuhlmann , Lasse Vogel

The main aim of the present paper is to introduce new classes of functions called $ \alpha $ $^m $ continuous maps and $ \alpha $ $^m $ irresolute maps. We obtain some characterizations of these classes and properties are studied.

General Topology · Mathematics 2016-01-15 Milby Mathew , R. Parimelazhagan , S. Jafari

We provide a characterization of graphs of linear rankwidth at most 1 by minimal excluded vertex-minors.

Discrete Mathematics · Computer Science 2011-06-14 Isolde Adler , Arthur M. Farley , Andrzej Proskurowski

We list more than 200 new examples of minor minimal intrinsically knotted graphs and describe many more that are intrinsically knotted and likely minor minimal.

Geometric Topology · Mathematics 2015-03-13 Noam Goldberg , Thomas W. Mattman , Ramin Naimi

We obtain generalisations of some inequalities for positive unital linear maps on matrix algebra. This also provides several positive semidefinite matrices and we get some old and new inequalities involving the eigenvalues of a Hermitian…

Functional Analysis · Mathematics 2016-02-16 R. Sharma , P. Devi , R. kumari

We give a classification of non-orthogonality classes of trivial order 1 strongly minimal sets in differentially closed fields. A central idea is the introduction of $\tau$-forms, functions on the prolongation of a variety which are…

Logic · Mathematics 2007-05-23 Eric Rosen

We classify minimal sets of (closed and oriented) hyperbolic surface homeomorphisms by studying the connected components of their complement. This extends the classification given by F. Kwakkel, T.J\"ager and A. Passeggi in the torus. The…

Dynamical Systems · Mathematics 2012-08-21 Alejandro Passeggi , Juliana Xavier

We study finite p-groups G of coclass upto 4 for which the group Aut_z(G) of all central automorphisms of G is of minimal possible order. As a consequence, we obtain very short and elementary proofs of main results of Sharma and Gumber [7].

Group Theory · Mathematics 2015-03-17 Deepak Gumber , Hemant Kalra

This paper considers generalizations of open mappings, closed mappings, pseudo-open mappings, and quotient mappings from topological spaces to generalized topological spaces. Characterizations of these classes of mappings are obtained and…

General Topology · Mathematics 2021-03-09 Xun Ge , Jianhua Gong , Ivan Reilly

Consider a determinantal variety X of expected codimension definend by the maximal minors of a matrix M of linear forms. Eisenbud and Popescu have conjectured that 1-generic matrices M are characterised by the property that the syzygy…

Algebraic Geometry · Mathematics 2007-05-23 Hans-Christian v. Bothmer

In this article, we study the ramification of the Gauss map of complete minimal surfaces in R^m on annular ends. This work is a continuation of previous work of Dethloff-Ha. We thus give an improvement of the results on annular ends of…

Differential Geometry · Mathematics 2014-11-12 Gerd Dethloff , Pham Hoang Ha , Pham Duc Thoan

We give a full characterisation of the symmetries of unlabelled triangulations and derive a constructive decomposition of unlabelled triangulations depending on their symmetries. As an application of these results we can deduce a complete…

Combinatorics · Mathematics 2015-09-03 Mihyun Kang , Philipp Sprüssel

A minimal (by inclusion) generating set for the algebra of semi-invariants of a quiver of dimension (2,...,2) is established over an infinite field of arbitrary characteristic. The mentioned generating set consists of the determinants of…

Representation Theory · Mathematics 2011-07-13 A. A. Lopatin

The method of range decreasing group homomorphisms can be applied to study various maps between mapping spaces, includin holomorphic maps, group homomorphisms, linear maps, semigroup homomorphisms, Lie algebra homomorphisms and algebra…

Group Theory · Mathematics 2025-04-29 Ning Zhang , Lifan Liu

We establish a characterization of the extraordinary dimension of perfect maps between metrizable spaces.

General Topology · Mathematics 2007-05-23 A. Chigogidze , V. Valov

We give a fine classification of cubic plane Cremona maps. A previous partial classification was obtained by Cerveau and D\'eserti a few years ago.

Algebraic Geometry · Mathematics 2020-02-27 Alberto Calabri , Thi Ngoc Giao Nguyen

We present a diagram surveying equivalence or strict implication for properties of different nature (algebraic, model theoretic, topological, etc.) about groups definable in o-minimal structures. All results are well-known and an extensive…

Logic · Mathematics 2020-10-29 Annalisa Conversano