Results 21 to 30 of about 101,782 (200)

Fixed Point Results in $\mathfrak{F}$-Bipolar Metric Spaces with Applications

Mathematics, 2023
The aim of this research article is to obtain fixed point results in the context of F-bipolar metric spaces. The obtained results extend some fixed point theorems in the existing literature.
Badriah Alamri
doaj   +1 more source

Cosimplicial homotopies [PDF]

Proceedings of the American Mathematical Society, 1990
Summary: A very general theorem is obtained which shows that, under certain conditions, two cosimplicial objects (constructed from triples) are homotopy-equivalent: cosimplicial homotopies are used. A number of applications are given.
openaire   +1 more source

Homotopy Classification of Generalized Phrases in Turaev's Theory of Words [PDF]

, 2009
In 2005 V. Turaev introduced the theory of topology of words and phrases. Turaev defined an equivalence relation on generalized words and phrases which is called homotopy. This is suggested by the Reidemeister moves in the knot theory.
Fukunaga, Tomonori
core   +2 more sources

A Note on the Topological Transversality Theorem for Weakly Upper Semicontinuous, Weakly Compact Maps on Locally Convex Topological Vector Spaces

Mathematics, 2020
A simple theorem is presented that automatically generates the topological transversality theorem and Leray−Schauder alternatives for weakly upper semicontinuous, weakly compact maps. An application is given to illustrate our results.
Donal O’Regan
doaj   +1 more source

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

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

The fundamental group of the orbit space

Annals of the West University of Timisoara: Mathematics and Computer Science, 2015
Let G be a subgroup of the group Homeo(X) of homeomorphisms of a topological space X. Let G¯$\bar G$ be the closure of G in Homeo(X). The class of an orbit O of G is the union of all orbits having the same closure as O. We denote by X/G˜$X/\widetildeG$
Hattab Hawete
doaj   +1 more source

A New Approximate Analytical Method and its Convergence for Fuzzy Time-Fractional Advection-Diffusion Equations [PDF]

International Journal of Mathematical, Engineering and Management Sciences
This article introduces a new numerical approach based on the Laplace Homotopy Perturbation Method (LHPM) to solve the one-dimensional Fuzzy Time-Fractional Advection-Diffusion Equation (FTFADE) in the Caputo sense, considering fuzzy initial conditions ...
Manju Kashyap, Surbhi Gupta, Nahid Fatima   +2 more
doaj   +1 more source

A Constructive Treatment to Elemental Life Forms through Mathematical Philosophy

Philosophies, 2021
The quest to understand the natural and the mathematical as well as philosophical principles of dynamics of life forms are ancient in the human history of science.
Susmit Bagchi
doaj   +1 more source

Homotopy limits of model categories and more general homotopy theories

, 2012
Generalizing a definition of homotopy fiber products of model categories, we give a definition of the homotopy limit of a diagram of left Quillen functors between model categories.
Bergner, Julia E.
core   +1 more source