Results 11 to 20 of about 59,724 (184)

Rigidity in Equivariant Stable Homotopy Theory [PDF]

, 2014
For any finite group G, we show that the 2-local G-equivariant stable homotopy category, indexed on a complete G-universe, has a unique equivariant model in the sense of Quillen model categories.
Patchkoria, Irakli
core   +3 more sources

Topological Homotopy Groups

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008
D. K. Biss (Topology and its Applications 124 (2002) 355-371) introduced the topological fundamental group and presented some interesting basic properties of the notion. In this article we intend to extend the above notion to homotopy groups and try to prove some similar basic properties of the topological homotopy groups.
Ghane, H., Hamed, Z., Mashayekhy, B., Mirebrahimi, H.   +3 more
openaire   +4 more sources

Solving Multi-Group Reflected Spherical Reactor System of Equations Using the Homotopy Perturbation Method

Mathematics, 2022
The solution of the complex neutron diffusion equations system of equations in a spherical nuclear reactor is presented using the homotopy perturbation method (HPM); the HPM is a remarkable approximation method that successfully solves different systems ...
Mohammad Shqair, Emad A. M. Farrag, Mohammed Al-Smadi   +2 more
doaj   +1 more source

Inertia Groups and Smooth Structures on Quaternionic Projective Spaces

, 2017
For a quarternionic projective space, the homotopy inertia group and the concordance inertia group are isomorphic, but the inertia group might be different.
Basu, Samik, Kasilingam, Ramesh
core   +2 more sources

Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps

Advances in Nonlinear Analysis, 2019
A free homotopy decomposition of any continuous map from a compact Riemannian manifold 𝓜 to a compact Riemannian manifold 𝓝 into a finite number maps belonging to a finite set is constructed, in such a way that the number of maps in this free homotopy ...
Schaftingen Jean Van
doaj   +1 more source

Constructing homologically trivial actions on products of spheres [PDF]

, 2012
We prove that if a finite group $G$ has a representation with fixity $f$, then it acts freely and homologically trivially on a finite CW-complex homotopy equivalent to a product of $f+1$ spheres.
Unlu, Ozgun, Yalcin, Ergun
core   +3 more sources

Digital Hopf Spaces and Their Duals

Journal of Mathematics, 2022
In this article, we study the fundamental notions of digital Hopf and co-Hopf spaces based on pointed digital images. We show that a digital Hopf space, a digital associative Hopf space, a digital Hopf group, and a digital commutative Hopf space are ...
Dae-Woong Lee
doaj   +1 more source

Spin(7) and generalized SO(8) instantons in eight dimensions

Nuclear Physics B, 2022
We present a simple compact formula for a topologically nontrivial map S7→Spin(7) associated with the fiber bundle Spin(7)→G2S7. The homotopy group π7[Spin(7)]=Z brings about the topologically nontrivial 8-dimensional gauge field configurations that ...
A.V. Smilga
doaj   +1 more source

Spectra of units for periodic ring spectra and group completion of graded E-infinity spaces [PDF]

, 2015
We construct a new spectrum of units for a commutative symmetric ring spectrum that detects the difference between a periodic ring spectrum and its connective cover. It is augmented over the sphere spectrum.
Boardman, Borceux, Bousfield, Dundas, Hirschhorn, Hovey, Mandell, May, May, Rognes, Shimada, Steffen Sagave   +11 more
core   +2 more sources

Topological Path Planning in GPS Trajectory Data

Sensors, 2016
This paper proposes a novel solution to the problem of computing a set of topologically inequivalent paths between two points in a space given a set of samples drawn from that space. Specifically, these paths are homotopy inequivalent where homotopy is a
Padraig Corcoran
doaj   +1 more source