Hasil untuk "math.AT"

Gregoire Marc

We prove that the forgetful functor from algebras over an $N_{\infty}$-operad to equivariant spaces preserves sifted homotopy colimits

J. C. Becker

A refined transfer is defined for the purpose of defining a refined version of the families torsion of Dwyer, Weiss, and Williams.

S. S. Podkorytov

We describe the relation of $r$-similarity and finite-order invariants on the homotopy set $[S^1,Y]=π_1(Y)$.

Benjamin Antieau

This paper explains the theory of spectral sequences via décalage and the Beilinson t-structure.

Noe Barcenas

We present an overview of computational methods for Bredon cohomology with a special focus on infinite groups

Ryo Horiuchi

In this note, we investigate a mixture of combinatorial spectra and stratified simplicial sets, which would be thought of as a model of the spectrum objects of $(\infty, \infty)$-categories.

Dariusz Miklaszewski

We study Borsuk-Ulam type results for the loopspace of an euclidean sphere without loops equal to their inverses.

Lisu Wu

We show that a small cover of dimension $3$ is atorodal if and only if there is no $4$-belt in the corresponding simple polytope.

Nora Seeliger

For a commutative ring $R$, in contrast to the completion in the sense of Bousfield and Kan at just a prime integer, there cannot exist spaces which are good and bad in an arbitrary way.

Gert-Jan Dugardein

In this paper, we will list all possible self-maps on infra-nilmanifolds up to dimension three and we will give the Nielsen zeta function for any of those maps.

Younggi Choi

We compute the lower bound estimate for the module category weight of compact exceptional Lie groups by analyzing several Eilenberg--Moore type spectral sequences.

Thanos Gentimis

We give an example of a visual Gromov Hyperbolic metric space X with asdimX=2 and dim(bdry X)=0

Qibing Zheng

In this paper, we define a new bigraded L-homology on finite simplicial complexes and prove that L-homology is a homeomorphism invariant of polyhedra.

Hadi Zare

This is an attempt to look at the tropical geometry from topological point of view.

Alexandru E. Stanculescu

This paper has been withdrawn by the author, due a critical mistake on page 3.

Christian Schlichtkrull

We analyze the functorial and multiplicative properties of the Thom spectrum functor in the setting of symmetric spectra, and we establish the relevant homotopy invariance.

Daniel Dugger

The paper summarizes the construction of pairings on some standard spectral sequences in algebraic topology.

Tornike Kadeishvili

We show that the cobar construction of a DG-bialgebra is a homotopy G-algebra. This implies that the bar construction of this cobar is a DG-bialgebra as well.

Alex Chigogidze, Vesko Valov

Some generalizations of the classical Hurewicz formula are obtained for extension dimension and C-spaces.

Jonathan Pakianathan

Provides a counterexample to a long standing conjecture of A. Adem regarding the behaviour of the integral cohomology of a p-group.