Hasil untuk "math.AT"

Dmitry V. Gugnin

We obtain all coset $n$-valued topological groups on $S^3$ and $\mathbb{R}P^3$, arising from compact Lie groups Sp(1) and SO(3) and there finite groups of automorphisms.

Primoz Skraba, Katharine Turner

These notes are a self-contained short proof of the stability of persistence diagrams.

Alyson Bittner

We show if $A$ is a finite CW-complex such that algebraic theories detect mapping spaces out of $A$, then $A$ has the homology type of a wedge of spheres of the same dimension. Furthermore, if $A$ is simply connected then $A$ has the homotopy type of a wedge of spheres.

Alexander Dranishnikov, Rustam Sadykov

We use the Berstein-Hilton invariant to prove the formula $\cat(M_1\sharp M_2)=\max\{\cat M_1, \cat M_2\}$ for the Lustrnik-Schnirelmann category of the connected sum of closed manifolds $M_1$ and $M_2$.

Shun Wakatsuki

We give an example of a space with the nontrivial composition of the brane product and the brane coproduct, which we introduced in a previous article.

Xueqi Wang

In this article, we compute all possible degrees of maps between $S^3$-bundles over $S^5$. It also provides a correction of an article by Lafont and Neofytidis.

Benjamin Cooper, Joshua Sussan

We formulate a relative, representation theoretic, notion of the algebraic cone construction. This motivates a generalization of the cone corresponding to a preprojective algebra.

Sergey V. Ludkowski

Cohomologies of nonassociative metagroup algebras are investigated. Extensions of metagroup algebras are studied. Examples are given.

Andrey Kustarev

We show that every set of numbers that occurs as the set of Chern numbers of an almost complex manifold $M^{2n}$, $n\geqslant 3$, may be realized as the set of Chern numbers of a connected almost complex manifold with an almost complex action of two-dimensional compact torus.

Philip S. Hirschhorn

The usual construction of a CW-approximation is functorial up to homotopy, but it is not functorial. In this note, we construct a functorial CW-approximation. Our construction takes inclusions of subspaces into inclusions of subcomplexes, and commutes with intersections of subspaces of a fixed space.

William C. Abram, Igor Kriz

We compute the equivariant (stable) complex cobordism ring $(MU_G)_*$ for finite abelian groups $G$.

Ramses Fernandez-Valencia

We give a classification of open equivariant topological conformal field theories in terms of Calabi-Yau $A_\infty$-categories endowed with a group action.

Shengkui Ye

A homotopy theoretic description is given for trivial unit conjecture in the group ring ZG.

Andrzej Czarnecki

A characterisation of trivial 1-cohomology for a broad class of metric spaces is presented. The condition ties cohomology and connectedness properties of open sets.

Alex Aguado

Given a homotopy equivalence f between two topological spaces we assemble well known pieces and unfold them into an explicit formula for a strong deformation retraction of the mapping cylinder of f onto its top.

Georges Maltsiniotis

The aim of this paper is to generalize in a homotopical framework the notion of exact square introduced by René Guitart, and explain the relationship between this generalization and the theory of derivators.

Petr M. Akhmet'ev

Collection of (equivariant) $\rm{PL}$-mappings admitting a relative abelian, cyclic, quaternionic, bicyclic, and quaternionic-cyclic structures are constructed.

Martin Markl

We review definitions and basic properties of operads, PROPs and algebras over these structures.

Mark Goresky, Robert MacPherson

This note contains a correction to the paper, ``Local contribution to the Lefschetz fixed point formula'', Inv. Math. 111 (1993), pp. 1-33.

M. Crainic

We have one more look at the (homological) perturbation lemma and we point out some non-standard consequences, including the relevance to deformations.