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We show that doubling, linearly connected metric spaces are quasi-arc connected. This gives a new and short proof of a theorem of Tukia.

Metric Geometry · Mathematics 2009-12-21 John M. Mackay

For a group $G$, we construct a quasi morphism from its left orderings and the map from the space of left orderings to the second bounded cohomology. We show that these maps reflect various properties of the group orderings.

Group Theory · Mathematics 2010-07-07 Tetsuya Ito

We show that the quantum family of all maps from a finite space to a finite dimensional compact quantum semigroup has a canonical quantum semigroup structure.

Operator Algebras · Mathematics 2012-09-04 Maysam Maysami Sadr

Essential properties of semiclassical approximation for quantum mechanics are viewed as axioms of an abstract semiclassical mechanics. Its symmetry properties are discussed. Semiclassical systems being invariant under Lie groups are…

Mathematical Physics · Physics 2009-11-07 Oleg Yu. Shvedov

This note is concerned in so called harmonic complex structures introduced by the author previously. I will recall some previous results and emphasize the motivation: Provide an attempt to a fundamental problem in geometry--determining the…

Differential Geometry · Mathematics 2016-10-27 Jianming Wan

It is shown that moduli spaces of complete families of compact complex hypersurfaces in complex manifolds often come equipped canonically with projective structures satisfying some natural integrability conditions.

dg-ga · Mathematics 2008-02-03 Sergey Merkulov , Henrik Pedersen

In this note, an intrinsic description of some families of linear codes with symmetries is given, showing that they can be described more generally as quasi group codes, that is, as linear codes allowing a group of permutation automorphisms…

Information Theory · Computer Science 2021-11-11 Martino Borello , Wolfgang Willems

In this paper we have obtained two more characterizations of nearly pseudocompact spaces.

General Topology · Mathematics 2022-03-28 Biswajit Mitra , Sanjib Das

We study the differential structure of the set of real logarithms of a non-singular real matrix, under the assumption that the matrix is either semi-simple or orthogonal.

Differential Geometry · Mathematics 2022-09-14 Donato Pertici

The structure of almost topological space is a variation of the concept of topological space. It emerged as a formalization of a quantifier first order not definable from the usual existential and universal operators, named the quantifier…

We discuss variations of mixed Hodge structure arising from projective morphisms of complex analytic spaces. Then we treat generalizations of Koll\'ar's torsion-free theorem, vanishing theorem, and so on, for reducible complex analytic…

Algebraic Geometry · Mathematics 2025-03-12 Osamu Fujino , Taro Fujisawa

In this paper we introduce the notion of weighted (weakly) almost periodic compactifcation of a semitopological semigroup and generalize this notion to corresponding notion for transformation semigroup.The inclusion relation and equality of…

Functional Analysis · Mathematics 2007-07-11 M. Abolghasemi , A. Rejali , H. R. E. Vishki

The space $SL(2,\mathbb{R})\times SL(2,\mathbb{R})$ admits a natural homogeneous pseudo-Riemannian nearly Kaehler structure. We investigate almost complex surfaces in this space. In particular we obtain a complete classification of the…

Differential Geometry · Mathematics 2020-06-23 Elsa Ghandour , Luc Vrancken

We show that for every quasivariety K of structures (where both functions and relations are allowed) there is a semilattice S with operators such that the lattice of quasi-equational theories of K (the dual of the lattice of…

Rings and Algebras · Mathematics 2012-12-06 Kira Adaricheva , J. B. Nation

The leaves in singular holomorphic foliation theory are examples of quasi-analytic layers. In the first part of our publication we are concerned with a theory of these subjects. A quasi-analytic decomposition of a complex manifold is a…

Complex Variables · Mathematics 2008-08-29 Burchard Kaup , Hans-Jörg Reiffen

We develop a structure theory of connected solvable spherical subgroups in semisimple algebraic groups. Based on this theory, we obtain an explicit classification of all such subgroups up to conjugation.

Group Theory · Mathematics 2012-01-24 Roman Avdeev

We study filtration of quasi--coherent sheaves. We prove a version of Kaplansky Theorem for quasi--coherent sheaves, by using Drinfeld's notion of almost projective module and the Hill Lemma. We also show a Lazard-like theorem for flat…

Algebraic Geometry · Mathematics 2011-09-05 Sergio Estrada , Pedro A. Guil Asensio , Sinem Odabasi

We define a quasimodule Q over a bounded lattice L in an analogous way as a module over a semiring is defined. The essential difference is that L need not be distributive. Also for quasimodules there can be introduced the concepts of inner…

Rings and Algebras · Mathematics 2024-11-04 Ivan Chajda , Helmut Länger

In this paper we give an elementary proof of the Zariski-Lipman conjecture for log canonical spaces.

Algebraic Geometry · Mathematics 2015-01-12 Stefan Heuver

In the framework of semiclassical theory the universal properties of quantum systems with classically chaotic dynamics can be accounted for through correlations between partner periodic orbits with small action differences. So far, however,…

Chaotic Dynamics · Physics 2016-02-17 Boris Gutkin , Vladimir Osipov
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