Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Wacław Marzantowicz"'
In a recent publication [D. Govc, W. A. Marzantowicz and P. Pavešić, Estimates of covering type and the number of vertices of minimal triangulations, Discrete Comput. Geom. 63 2020, 1, 31–48], we have introduced a new method, based on the Lustern
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59f8e05888abe71916a29b2bb4a59bbc
http://arxiv.org/abs/2108.09853
http://arxiv.org/abs/2108.09853
Publikováno v:
Discrete & Computational Geometry. 63:31-48
The covering type of a space $X$ is a numerical homotopy invariant which in some sense measures the homotopical size of $X$. It was first introduced by Karoubi and Weibel (in Enseign Math 62(3-4):457-474, 2016) as the minimal cardinality of a good co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::774d724e68b4cef4ec9ee9447832a774
https://doi.org/10.1007/s00454-019-00092-z
https://doi.org/10.1007/s00454-019-00092-z
Publikováno v:
Journal of Fixed Point Theory and Applications. 22
The partition invariant $$\pi (K)$$ of a simplicial complex $$K\subseteq 2^{[m]}$$ is the minimum integer $$\nu $$, such that for each partition $$A_1\uplus \cdots \uplus A_\nu = [m]$$ of [m], at least one of the sets $$A_i$$ is in K. A complex K is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c62f86b48aeb01706194e8fb4d21b519
https://doi.org/10.1007/s11784-020-0763-2
https://doi.org/10.1007/s11784-020-0763-2
Publikováno v:
Topol. Methods Nonlinear Anal. 56, no. 2 (2020), 501-518
In this paper we use recently developed methods to compute a lower bound for the number of simplices that are needed to triangulate the Grassmann manifold $\G_k(\mathbb{R}^n)$. We first estimate the number of vertices that are needed for such a trian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e87c4721ba928af1f61d82d75567594c
Publikováno v:
Topology and its Applications. 249:112-126
We describe a unified approach to estimating the dimension of $f^{-1}(A)$ for any $G$-equivariant map $f \colon X \to Y$ and any closed $G$-invariant subset $A\subseteq Y$ in terms of connectivity of $X$ and dimension of $Y$, where $G$ is either a cy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5caaccbbf36a6848464fb3d1438f859c
https://doi.org/10.1016/j.topol.2018.09.010
https://doi.org/10.1016/j.topol.2018.09.010
Publikováno v:
Topology and its Applications. 293:107559
We estimate the number of simplices required for triangulations of compact Lie groups. As in the previous work [11] , our approach combines the estimation of the number of vertices by means of the covering type via a cohomological argument from [10]
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6312c5c8cb64a9ff33ae6ec3d6a316fe
https://doi.org/10.1016/j.topol.2020.107559
https://doi.org/10.1016/j.topol.2020.107559
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Let V and W be orthogonal representations of G with $$V^G= W^G=\{0\}$$ . Let S(V ) be the sphere of V and $$f : S(V ) \rightarrow W$$ be a G-equivariant mapping. We give an estimate for the dimension of the set $$Z_f=f^{-1}\{0\}$$ in terms of $$ \dim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45197f65e88a4b6b617293864bdea80d
Publikováno v:
Bull. Belg. Math. Soc. Simon Stevin 24, no. 4 (2017), 621-630
Let $G$ be a compact Lie group. We prove that if $V$ and $W$ are orthogonal $G$-representations such that $V^G=W^G=\{0\}$, then a $G$-equivariant map $S(V) \to S(W)$ exists provided that $\dim V^H \leq \dim W^H$ for any closed subgroup $H\subseteq G$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b3c31bb981c0837d4b86fcdc5338b02
Autor:
Wacław Marzantowicz, Wojciech Lubawski
Publikováno v:
Bulletin of the London Mathematical Society. 47:101-117
We present a new approach to an equivariant version of Farber’s topological complexity called invariant topological complexity. It seems that the presented approach is more adequate for the analysis of impact of a symmetry on a motion planning algo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32b30bb9351dc934b0727316366df84c
https://doi.org/10.1112/blms/bdu090
https://doi.org/10.1112/blms/bdu090