Results 51 to 60 of about 25,187 (240)

Good coverings of proximal Alexandrov spaces. Path cycles in the extension of the Mitsuishi-Yamaguchi good covering and Jordan Curve Theorems

Applied General Topology, 2023
This paper introduces proximal path cycles, which lead to the main results in this paper, namely, extensions of the Mitsuishi-Yamaguchi Good Coverning Theorem with different forms of Tanaka good cover of an Alexandrov space equipped with a proximity ...
James Francis Peters, Tane Vergili
doaj   +1 more source

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

COARSE VERSION OF HOMOTOPY THEORY (AXIOMATIC STRUCTURE) [PDF]

, 2013
In topology, homotopy theory can be put into an algebraic framework. The most complete such framework is that of a Quillen model Category [[15], [5]]. The usual class of coarse spaces appears to be too small to be a Quillen model category.
Mohamad, Nadia
core  

Eilenberg–Maclane spaces and stabilisation in homotopy type theory

, 2023
In this note, we study the delooping of spaces and maps in homotopy type theory. We show that in some cases, spaces have a unique delooping, and give a simple description of the delooping in these cases.
Wärn, David,, David Wärn
core   +1 more source

Embedding Optimization of Layouts via Distortion Minimization

Computer Graphics Forum, EarlyView.
Abstract Given an embedding of a layout in the surface of a target mesh, we consider the problem of optimizing the embedding geometrically. Layout embeddings partition the surface into multiple disk‐like patches, making them particularly useful for parametrization and remeshing tasks, such as quad‐remeshing, since these problems can then be solved on ...
A. Heuschling, I. Lim, L. Kobbelt
wiley   +1 more source

Homotopy epimorphisms in homotopy pullbacks

Topology and its Applications, 1994
The authors prove that homotopy epimorphisms are preserved under homotopy pullback. (A map \(f: X\to Y\) of pointed path-connected CW-spaces is a homotopy epimorphism, if given \(u,v: Y\to Z\), \(u\circ f\simeq v\circ f\) implies \(u\simeq v\).) The proof makes use of \textit{M. Mather}'s first cube theorem [Can. J. Math.
Hong, Lin, Wenhuai, Shen
openaire   +2 more sources

A Simple Grid‐Maps Pipeline: Restructured, Accelerated and Upgraded

Computer Graphics Forum, EarlyView.
Abstract Grid maps – spatially arranged small multiples – are a powerful tool to show complex geospatial data. Meulemans et al. (2020) introduced a pipeline for computing high‐quality grid maps that are shaped roughly according to their containing geographic outlines.
W. Meulemans
wiley   +1 more source

An efficient method for solving Schlömilch-type integral equations

Journal of Amasya University the Institute of Sciences and Technology
Schlömilch integral equations have many applications in terrestrial physics and serve as useful tools for various ionospheric problems. Recently, researchers have investigated Schlömilch-type integral equations.
Ahmet Altürk
doaj   +1 more source

Homotopy theory of homotopy algebras [PDF]

Annales de l'Institut Fourier, 2020
This paper studies the homotopy theory of algebras and homotopy algebras over an operad. It provides an exhaustive description of their higher homotopical properties using the more general notion of morphism called infinity-morphism. The method consists in using the operadic calculus to endow the category of coalgebras over the Koszul dual cooperad or ...
openaire   +4 more sources

On computing local monodromy and the numerical local irreducible decomposition

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards, Jonathan D. Hauenstein   +1 more
wiley   +1 more source