Results 51 to 60 of about 25,212 (237)

On some topological invariants for morphisms defined in homological spheres

Applied General Topology, 2015
In the paper one defines topological invariants of type degree for morphisms in the category Top₍₂₎ of topological pairs of spaces and continuous single valued maps, which admit homological n-spheres as target and arbitrary topological pairs of spaces as
Nasreddine Mohamed Benkafadar, Boris Danielovich Gel'man   +1 more
doaj   +1 more source

Bioconvective Unsteady Casson Hybrid Nanofluid Flow on a Variable Darcy Regime Between Two Rotating Disks With Variable Heat Source

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This study carries significant consequences in various engineering applications, such as cooling rotating disk surfaces, improving chemical reactor performance, and designing filtration systems. Considering these main applications in view, the aim of this study is to investigate time‐dependent Casson hybrid nanofluid flow on a permeable ...
Ebrahem A. Algehyne, Abdul Bariq, Mounirah Areshi, Fahad Maqbul Alamrani, Zehba Raizah, Izharul Haq, Anwar Saeed   +6 more
wiley   +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

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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  

Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$

Mathematische Nachrichten, EarlyView.
ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
wiley   +1 more source

Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method [PDF]

, 2008
The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa-Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution.
Abbasbandy, S., Parkes, E.J.
core   +1 more source

A Detailed and Comprehensive Account of Fractional Physics‐Informed Neural Networks: From Implementation to Efficiency

Artificial Intelligence for Engineering, EarlyView.
Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri, Joshua DaRosa, Milad Saadat, Deepak Mangal, Safa Jamali   +4 more
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

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