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The purpose of this note is to give a number of open problems on matching theory and their relation to the well-known results in this area. We also give a linear analogue of the acyclic matchings.

Group Theory · Mathematics 2018-03-23 Babak Hassanzadeh

Combinatorial and topological aspects of monoids with an absorbing element and their associated algebras are considered. Phd thesis.

Commutative Algebra · Mathematics 2016-03-08 Simone Boettger

We prove that the two-sided limit shadowing property is among the strongest known notions of pseudo-orbit tracing. It implies shadowing, average shadowing, asymptotic average shadowing and specification properties. We also introduce a…

Dynamical Systems · Mathematics 2024-10-22 Bernardo Carvalho , Dominik Kwietniak

We establish the deformation theory of Lie groupoid morphisms, describe the corresponding deformation cohomology of morphisms, and show the properties of the cohomology. We prove its invariance under isomorphisms of morphisms. Additionally,…

Differential Geometry · Mathematics 2023-12-21 Cristian Camilo Cárdenas

We study the problem of orbifold deconstruction, i.e., the process of recognizing, using only readily available information, whether a given conformal model can be realized as an orbifold, and the identification of the twist group and the…

High Energy Physics - Theory · Physics 2019-04-10 Peter Bantay

We use functions of a bicomplex variable to unify the existing constructions of harmonic morphisms from a 3-dimensional Euclidean or pseudo-Euclidean space to a Riemannian or Lorentzian surface. This is done by using the notion of…

Differential Geometry · Mathematics 2010-03-12 Paul Baird , John C. Wood

Present notes can be viewed as an attempt to extend the notion of Schubert/Grothendieck polynomial to the context of an arbitrary algebraic oriented cohomology theory and, hence, of a commutative one-dimensional formal group law.

Rings and Algebras · Mathematics 2014-06-05 Kirill Zainoulline

We study holonomy representations admitting a pair of supplementary faithful sub-representations. In particular the cases where the sub-representations are isomorphic respectively dual to each other are treated. In each case we have a…

Representation Theory · Mathematics 2008-02-21 Thomas Krantz

In \cite{LS14} the analogy between the Kleisli construction and the construction of "warping a skew monoidale category" in the sense of \cite{LS12} was outlined. In this note we present the same work in a slightly more formal way.

Category Theory · Mathematics 2015-10-05 Dimitri Chikhladze

We show that the question whether a term is typable is decidable for type systems combining inclusion polymorphism with parametric polymorphism provided the type constructors are at most unary. To prove this result we first reduce the…

Logic in Computer Science · Computer Science 2007-05-23 Sabine Glesner , Karl Stroetmann

In this paper, we extend the recently introduced concept of partially dual ribbon graphs to graphs. We then go on to characterize partial duality of graphs in terms of bijections between edge sets of corresponding graphs. This result…

Combinatorics · Mathematics 2012-03-01 Iain Moffatt

Faceted arrangement of entities and typed relations for representing different associations between the entities are established tools in knowledge representation. In this paper, a proposal is being discussed combining both tools to draw…

Information Retrieval · Computer Science 2014-09-02 Winfried Gödert

Working in any model theoretic structure, we single out a class of definable bipartite graphs that admit definable, close to perfect matchings. We use this result to prove a strengthening of Tarski's theorem for the definable setting.

Logic · Mathematics 2025-07-14 Jana Maříková

In this note we refine the alternativity in some bifurcation theorems of Rabinowitz type, and then improve a few of results in Lu (2022) [17].

Functional Analysis · Mathematics 2023-09-13 Guangcun Lu

We consider various notions of holomorphic extendability of complex valued functions defined on subsets of $\mathbf C^n$, including one-sided extendability. We show that in the relevant function spaces, these phenomena of holomorphic…

Complex Variables · Mathematics 2016-12-02 Nikolaos Georgakopoulos

A cohomology theory for lambda-rings is developed. This is then applied to study deformations of lambda-rings.

Algebraic Topology · Mathematics 2007-05-23 Donald Yau

The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].

Classical Analysis and ODEs · Mathematics 2019-10-03 K. Castillo , M. N. de Jesus , J. Petronilho

The aim of this short note is to show how can be derived from the properties of fundamental interpolation polynomials some nice identities.

History and Overview · Mathematics 2014-12-23 Sorin G. Gal

The phrase "(co)simplicial (pre)sheaf" can be reasonably interpreted in multiple ways. In this survey we study how the various notions familiar to the author relate to one another. We end by giving some example applications of the most…

Category Theory · Mathematics 2023-06-22 Timothy Hosgood

Although the notion of a concept as a collection of objects sharing certain properties, and the notion of a conceptual hierarchy are fundamental to both Formal Concept Analysis and Description Logics, the ways concepts are described and…

Logic in Computer Science · Computer Science 2011-07-15 Baris Sertkaya
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