Results 91 to 100 of about 59,724 (184)

Big fundamental groups: Generalizing homotopy and big homotopy

Topology and its Applications, 2016
The concept of big homotopy theory was introduced by J. Cannon and G. Conner using big intervals of arbitrarily large cardinality to detect big loops. We find, for each space, a canonical cardinal that is sufficient to detect all big loops and all big homotopies in the space.
openaire   +2 more sources

Topological aspects of brane fields: Solitons and higher-form symmetries

SciPost Physics
In this note, we classify topological solitons of n-brane fields, which are nonlocal fields that describe n-dimensional extended objects. We consider a class of n-brane fields that formally define a homomorphism from the n-fold loop space $\Omega^n X_D ...
Salvatore D. Pace, Yu Leon Liu
doaj   +1 more source

Abelian homotopy Dijkgraaf-Witten theory

, 2004
We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theory based on U(1) classifies lens spaces up to ...
Hansen, S. K., Slingerland, J. K., Turner, P. R.   +2 more
core   +1 more source

On [L]-homotopy groups

, 2000
Some properties of [L]-homotopy group for finite complex L are investigated. It is proved that for complex L whose extension type lying between Sn and Sn+1 n-th [L]-homotopy group of Sn is isomorphic to Z.
openaire   +3 more sources

Computing simplicial representatives of homotopy group elements. [PDF]

J Appl Comput Topol, 2018
Filakovský M, Franek P, Wagner U, Zhechev S.   +3 more
europepmc   +1 more source

Homotopy of the classical configuration space for the two-magnon sector of a magnetic Heisenberg ring

Open Physics, 2003
Lulek Barbara, Jakubczyk Dorota
doaj   +1 more source

Torus Homotopy Groups [PDF]

Proceedings of the National Academy of Sciences, 1945
openaire   +3 more sources

Linearized Coxeter higher-spin theories

Journal of High Energy Physics
A class of higher-spin gauge theories on AdS 4 associated with various Coxeter groups C $$ \mathcal{C} $$ is analyzed at the linear order. For a general C $$ \mathcal{C} $$ , a solution corresponding to the AdS 4 space and the form of the free unfolded ...
A. A. Tarusov, K. A. Ushakov, M. A. Vasiliev   +2 more
doaj   +1 more source

A Comprehensive Study of Nonlinear Mixed Integro-Differential Equations of the Third Kind for Initial Value Problems: Existence, Uniqueness and Numerical Solutions

Axioms
Nonlinear mixed integro-differential equations (NM-IDEs) of the third kind present a complex challenge during solving initial value problems (IVPs), particularly after converting them from standard forms.
Ahmed S. Rahby, Sameh S. Askar, Ahmad M. Alshamrani, Gamal A. Mosa   +3 more
doaj   +1 more source

Group Theoretical Analysis of non-Newtonian Fluid Flow, Heat and Mass Transfer over a Stretching Surface in the Presence of Thermal Radiation

Journal of Applied Fluid Mechanics, 2016
The present article examines the flow, heat and mass transfer of a non-Newtonian fluid known as Casson fluid over a stretching surface in the presence of thermal radiations effects. Lie Group analysis is used to reduce the governing partial differential
Muhammad Tufail, Adnan Saeed Butt, Asif Ali   +2 more
doaj