Results 21 to 30 of about 59,724 (184)

GLOBAL ACTIONS AND VECTOR $K$-THEORY

Forum of Mathematics, Sigma, 2020
Purely algebraic objects like abstract groups, coset spaces, and G-modules do not have a notion of hole as do analytical and topological objects. However, equipping an algebraic object with a global action reveals holes in it and thanks to the homotopy ...
ANTHONY BAK, ANURADHA S. GARGE
doaj   +1 more source

On generalization of homotopy axiom

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):271-275] it was proven that if G is compact topological group or field then in the homotopy axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment [0;1] can be replaced by any compact ...
Umed Karimov
doaj   +1 more source

Topological Nambu monopole in two Higgs doublet models

Physics Letters B, 2020
We show that a topological Nambu monopole exists as a regular solution for a large range of parameters in two Higgs doublet models, contrary to the standard model admitting only non-topological Nambu monopoles.
Minoru Eto, Yu Hamada, Masafumi Kurachi, Muneto Nitta   +3 more
doaj   +1 more source

Homotopy properties of Hamiltonian group actions [PDF]

, 2004
Consider a Hamiltonian action of a compact Lie group H on a compact symplectic manifold (M,w) and let G be a subgroup of the diffeomorphism group Diff(M). We develop techniques to decide when the maps on rational homotopy and rational homology induced by
Kedra, Jarek, McDuff, Dusa
core   +2 more sources

Topological Characterizations for Sheaf of the Groups Formed by Topological Generalized Groups

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In the present paper, we providethe some algebraic topologicalcharacterizations for an algebraic sheafby means of the topological generalized group constructed in [3] by consideringboth homotopy and sheaf theory.
Hakan Efe, Hatice Aslan
doaj   +1 more source

Spheres over fields, their entire rational maps and applications

Pracì Mìžnarodnogo Geometričnogo Centru
The paper summarizes some results on algebraic geometry presence in the homotopy theory. For the homotopy group πm(Sn), denote by πalgm(Sn) its subset of homotopy classes represented by ℝ-entire rational maps Sm→Sn of spheres.
Marek Golasinski
doaj   +1 more source

Homotopy Inertia Groups and Tangential Structures

, 2017
We show that if $M$ and $N$ have the same homotopy type of simply connected closed smooth $m$-manifolds such that the integral and mod-$2$ cohomologies of $M$ vanish in odd degrees, then their homotopy inertia groups are equal. Let $M^{2n}$ be a closed $(
Kasilingam, Ramesh
core   +1 more source

A Vietoris-Smale mapping theorem for the homotopy of hyperdefinable sets [PDF]

, 2017
Results of Smale (1957) and Dugundji (1969) allow to compare the homotopy groups of two topological spaces $X$ and $Y$ whenever a map $f:X\to Y$ with strong connectivity conditions on the fibers is given.
Achille, Alessandro, Berarducci, Alessandro   +1 more
core   +2 more sources

Fixed Points of Maps of a Nonaspherical Wedge

Fixed Point Theory and Applications, 2009
Let X be a finite polyhedron that has the homotopy type of the wedge of the projective plane and the circle. With the aid of techniques from combinatorial group theory, we obtain formulas for the Nielsen numbers of the selfmaps of X.
Seung Won Kim, Robert F. Brown, Adam Ericksen, Nirattaya Khamsemanan, Keith Merrill   +4 more
doaj   +2 more sources

Graphing, homotopy groups of spheres, and spaces of long links and knots

Forum of Mathematics, Sigma
We study homotopy groups of spaces of long links in Euclidean space of codimension at least three. With multiple components, they admit split injections from homotopy groups of spheres.
Robin Koytcheff
doaj   +1 more source