Results 41 to 50 of about 59,724 (184)
Fuzzy Relative Homotopy and Fuzzy Weak Equivalence with Some Results
In this paper, first introduce my concept fuzzy homotopic and fuzzy homotopic relative and weproved that the relation fuzzy homotopic relative is a fuzzy equivalence relation.
Azhar Kareem
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Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
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Homotopy homomorphisms and the classifying space functor
We show that the classifying space functor $B: Mon \to Top*$ from the category of topological monoids to the category of based spaces is left adjoint to the Moore loop space functor $\Omega': Top*\to Mon$ after we have localized $Mon$ with respect to all
Vogt, R. M.
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On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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In this work, we perform Lie group analysis on a fifth-order integrable nonlinear partial differential equation, which was recently introduced in the literature and contains two dispersive terms.
Simbanefayi Innocent +1 more
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Homotopy nilpotent groups [PDF]
We study the connection between the Goodwillie tower of the identity and the lower central series of the loop group on connected spaces. We define the simplicial theory of homotopy n-nilpotent groups. This notion interpolates between infinite loop spaces and loop spaces.
Biedermann, Georg, Dwyer, William G
openaire +5 more sources
A genuine G$G$‐spectrum for the cut‐and‐paste K$K$‐theory of G$G$‐manifolds
Abstract Recent work has applied scissors congruence K$K$‐theory to study classical cut‐and‐paste (SK$SK$) invariants of manifolds. This paper proves the conjecture that the squares K$K$‐theory of equivariant SK$SK$‐manifolds arises as the fixed points of a genuine G$G$‐spectrum.
Maxine E. Calle, David Chan
wiley +1 more source
Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group
The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel +2 more
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Noncommutative polygonal cluster algebras
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
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The fundamental group of the orbit space
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
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