Zobrazeno 1 - 10
of 5 771
pro vyhledávání: '"P. van Kampen"'
Autor:
Treviño-Marroquín, Jonathan
In algebraic topology, the fundamental groupoid is a classical homotopy invariant which is defined using continuous maps from the closed interval to a topological space. In this paper, we construct a semi-coarse version of this invariant, using as pa
Externí odkaz:
http://arxiv.org/abs/2404.08874
Autor:
Liu, Zhiyuan
We computed the fundamental groups of non-singular sets of some complexified Hamiltonian integrable systems by Zariski-van Kampen method. By our computation, we determined all possible monodromy in complexified planar Kepler problem and spherical pen
Externí odkaz:
http://arxiv.org/abs/2312.12761
Directed topology is an area of mathematics with applications in concurrency. It extends the concept of a topological space by adding a notion of directedness, which restricts how paths can evolve through a space and enables thereby a faithful repres
Externí odkaz:
http://arxiv.org/abs/2312.06506
Autor:
Kapustin, Anton
A simple model of charge transport is provided by a classical particle in a smooth random potential and a dissipative coupling to the environment in the form of Markovian noise and friction. The corresponding Non-Equilibrium Steady State (NESS) can b
Externí odkaz:
http://arxiv.org/abs/2402.09672
Autor:
Ivanov, Nikolai V.
The first goal of the present paper it to present a simple and elementary proof of the standard Seifert-van Kampen theorem based on ideas of P. Olum. The key tool is the singular cohomology theory with non-abelian coefficients in dimensions 0 and 1.
Externí odkaz:
http://arxiv.org/abs/2310.18886
Akademický článek
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Autor:
White, Moshe
In this paper we prove that a graph is a string graph (the intersection graph of curves in the plane) if and only if it admits a drawing in the plane with certain properties. This also allows us to define an algebraic obstruction, similar to the Van
Externí odkaz:
http://arxiv.org/abs/2308.06833
The van Kampen-Flores theorem states that the $d$-skeleton of a $(2d+2)$-simplex does not embed into $\mathbb{R}^{2d}$. We prove the van Kampen-Flores theorem for triangulations of manifolds satisfying a certain condition on their Stiefel-Whitney cla
Externí odkaz:
http://arxiv.org/abs/2304.08043
Akademický článek
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Autor:
Miller, Steven D
Let $\mathbb{I\!D}=[0,\mathrm{L}]\subset\mathbb{R}^{+}$ be a slab geometry with boundaries $z=0$ and $z=\mathrm{L}$. A laser beam with a flat incident intensity $\psi_{o}$ enters the slab along the z-axis or unit vector $\widehat{\mathbf{e}}_{3}$ at
Externí odkaz:
http://arxiv.org/abs/2301.12752