Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Cadek, Martin"'
Publikováno v:
In eClinicalMedicine March 2023 57
This paper gives a uniform, self-contained and direct approach to a variety of obstruction-theoretic problems on manifolds of dimension 7 and 6. We give necessary and sufficient cohomological criteria for the existence of various G-structures on vect
Externí odkaz:
http://arxiv.org/abs/1811.04666
Let $X$ and $Y$ be finite simplicial sets (e.g. finite simplicial complexes), both equipped with a free simplicial action of a finite group $G$. Assuming that $Y$ is $d$-connected and $\dim X\le 2d$, for some $d\geq 1$, we provide an algorithm that c
Externí odkaz:
http://arxiv.org/abs/1307.6444
We consider two basic problems of algebraic topology, the extension problem and the computation of higher homotopy groups, from the point of view of computability and computational complexity. The extension problem is the following: Given topological
Externí odkaz:
http://arxiv.org/abs/1302.2370
For several computational problems in homotopy theory, we obtain algorithms with running time polynomial in the input size. In particular, for every fixed k>1, there is a polynomial-time algorithm that, for a 1-connected topological space X given as
Externí odkaz:
http://arxiv.org/abs/1211.3093
Autor:
Čadek, Martin, Krčál, Marek, Matoušek, Jiří, Sergeraert, Francis, Vokřínek, Lukáš, Wagner, Uli
Given topological spaces X and Y, a fundamental problem of algebraic topology is understanding the structure of all continuous maps X -> Y . We consider a computational version, where X, Y are given as finite simplicial complexes, and the goal is to
Externí odkaz:
http://arxiv.org/abs/1105.6257
Autor:
Cadek, Martin, Moravec, Zdenek
We determine the Batalin-Vilkovisky algebra structure of the integral loop homology of quaternionic projective spaces and octonionic projective plane.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1004.1550
Publikováno v:
Topology and its Applications, 157 (2010), 2850-2863
Any oriented 4-dimensional real vector bundle is naturally a line bundle over a bundle of quaternion algebras. In this paper we give an account of modules over bundles of quaternion algebras, discussing Morita equivalence, characteristic classes and
Externí odkaz:
http://arxiv.org/abs/0909.2409
Publikováno v:
manuscripta math. 127 (2008), 167-186
This note gives a uniform, self-contained, and fairly direct approach to a variety of obstruction-theoretic problems on 8-manifolds. We give necessary and sufficient cohomological critera for the existence of almost complex and almost quaternionic st
Externí odkaz:
http://arxiv.org/abs/0710.0734
Autor:
Cadek, Martin, Crabb, Michael
Publikováno v:
Proc. London Math. Soc. (3) 93 (2006), 791-816
A generalization of classical theorems on the existence of sections of real, complex and quaternionic Stiefel manifolds is proved.
Comment: 26 pages
Comment: 26 pages
Externí odkaz:
http://arxiv.org/abs/math/0510149