Hasil untuk "math.AT"

S. S. Podkorytov

We describe the behaviour of the homotopy similarity relations and finite-order invariants under the function $[X,Y]\to[X,Z]$ induced by a map $Y\to Z$ strongly $r$-similar to the constant map.

Alexis Aumonier

We explain how results comparing the homology of spaces of algebraic and continuous maps to projective spaces can be leveraged to compare moduli stacks of families of algebraic and continuous maps.

Thomas Willwacher

We describe a way to compute mapping spaces of cyclic operads through modules. As an application we compute the homotopy automorphism space of the cyclic Batalin-Vilkovisky (Hopf co-)operad.

S. S. Podkorytov

Given based cellular spaces X and Y, X compact, we define a sequence of increasingly fine equivalences on the based-homotopy set [X,Y].

Yves Félix, Aniceto Murillo

We prove that the second homology group of the completion of an infinite dimensional free Lie algebra is uncountable.

Thomas Brazelton

This is an expository paper providing an overview of the unstable motivic homotopy category using the theory of $(\infty,1)$-categories. In this paper, we examine two constructions in the literature and discuss their equivalence.

Markus Hausmann

We show that the category of symmetric spectra can be used as a model for global equivariant homotopy theory of finite groups.

Li Cai

In this note we prove that the integer cohomology ring of polyhedral products with space pairs $(D^1, S^0)$ can also be described explicitly by a multiplicative Hochster's formula.

Naoya Suzuki

We show that the cohomology group of the equivariant simplicial de Rham complex is isomorphic to the cohomology group of the classifying space of a semi-direct product group.

Qibing Zheng

In this paper, we compute the homology coalgebra and cohomology algebra over a field of all generalized moment-angle complexes and give a duality theorem on complementary moment-angle complexes.

Ittay Weiss

An extension of order theory is presented that serves as a formalism for the study of dendroidal sets analogously to way the formalism of order theory is used in the study of simplicial sets.

Arjun Malhotra, Kijti Rodtes

We show that the Gromov-Lawson-Rosenberg conjecture for the Semi-Dihedral group of order 16 is true.

Martin Cadek, Zdenek Moravec

We determine the Batalin-Vilkovisky algebra structure of the integral loop homology of quaternionic projective spaces and octonionic projective plane.

Leticia Zarate

We calculate the annihilator of the ku-toral class for the p-groups Z_{p^2} X Z_{p^k}$ with k > 2. This allows us to give a description of the ku-homology of these groups.

Mark Grant

This article has been withdrawn due to an error in a proof of the main result.

Donald Yau

A cohomology theory for lambda-rings is developed. This is then applied to study deformations of lambda-rings.

Donald W. Barnes

The Swan, Leray and Leray-Serre spectral sequences of a compact Hausdorff HLC space acted on by a discrete group are shown to be isomorphic.

Andre Joyal, Myles Tierney

We show that complete Segal spaces and Segal categories are Quillen equivalent to quasi-categories.

Daniel Dugger

We construct a spectral sequence for computing KR-theory, analogous to the spectral sequence relating motivic cohomology to algebraic K-theory.

Neil P. Strickland

We compute the completed E(n) cohomology of the classifying spaces of the symmetric groups, and relate the answer to the theory of finite subgroups of formal groups.