Hasil untuk "math.AT"

Guoqi Yan

We give an explicit formula for the $RO(C_{2^n})$-graded homotopy of $H\underline{\mathbb{F}_2}$.

Shai Haran

We define the concept of a bi-operad. We develop the homotopy theory of "Bital-Sets" and of infinite-bi-operads. We develop a geometry of generalized schemes based on the spectra of distributive monochromatic bi-operads.

Ivan Marin

We introduce a distance function between simplicial complexes and study several of its properties.

I-Ming Tsai

We give the stable splitting of the complex connective K-theory of the classifying space of special orthogonal groups on even dimensions.

Mikael Vejdemo-Johansson

We describe three identification spaces of the square, interesting choices of immersion into $\mathbb{R}^3$, and a process to construct 3d-printable models of their parametrizations.

Xin Fu

In this paper, we determine the homotopy type of the quotient space $\mathcal{Z}_{Δ^k_m}/S^1_d$, given by the moment-angle complex $\mathcal{Z}_{Δ_m^k}$ under the diagonal circle action.

Shreyas Samaga

We study continuous, symmetric and unanimous aggregation functions and continuous majority functions and prove that such functions exist on a choice space if and only if the choice space is contractible.

Oron Y. Propp

Following an overview of the relevant theory, we construct several explicit examples of height-3 K3 spectra.

Piotr Pstrągowski

As a consequence of the algebraicity of chromatic homotopy at large primes, we show that the Hopkins' Picard group of the $K(n)$-local category coincides with the algebraic one when $2p-2 > n^{2}+n$.

Mehmet Solgun

In this work, we define a Morse function on SO(n) and show that this function is indeed a perfect Morse function.

Dang Ho Hai Nguyen, Lionel Schwartz

This note gives a new construction of Takayasu's cofibrations.

S. R. Sverchkov

It is proved that all Jordan s-identities of the three variables are consequences of s-identities Glennie.

Alexander Dranishnikov

We present a reduction of the Hilbert-Smith conjecture in the case of the finite dimensional orbit space to some algebraic topology problems.

Takahiro Matsushita

We construct a free $\mathbb{Z}_2$-manifold $X_n$ for a positive integer $n$ such that $w_1(X_n)^n \neq 0$, but there is no $\mathbb{Z}_2$-equivariant map from $S^2$ to $X_n$.

Semen Podkorytov

We prove that homotopy invariants of finite degree distinguish homotopy classes of maps of a connected compact CW-complex to a nilpotent connected CW-complex with finitely generated homotopy groups.

William Kronholm

In this paper, we compute the $RO(\mathbb{Z}/2)$-graded equivariant cohomology of rotation groups and Stiefel manifolds with particular involutions.

Ivan Yudin

We give an explicit description for the nerve of crossed module of categories.

Ib Madsen

This paper proves an integral version of the Riemann-Roch theorem for surface bundles, comparing the standard cohomology classes with the cohomology classes coming from the symplectic group.

Martin Jakob

Using geometric homology and cohomology we give a simple and conceptual proof of the Thom isomorphism theorem.

Jie Wu

The homology with coefficients in a field of the configuration spaces $C(M\times \bold R ^n,M_o\times \bold R ^n;X)$ is determined in this paper.