Výsledky vyhledávání - "Michael C. Crabb"

Borsuk-Ulam theorems for elementary abelian 2-groups

Autor: Michael C. Crabb

Publikováno v: Topological Methods in Nonlinear Analysis. :1-14

Let $G$ be a fct Lie group and let $U$ and $V$ be finite-dimensional real $G$-modules with $V^G=0$. A theorem of Marzantowicz, de Mattos and dos Santos estimates the covering dimension of the zero-set of a $G$-map from the unit sphere in $U$ to $V$ w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::62e4ba899cb0645ce24e0be71a8fce40
https://doi.org/10.12775/tmna.2022.042

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Bisection of measures on spheres and a fixed point theorem

Autor: Michael C. Crabb

Publikováno v: Topological Methods in Nonlinear Analysis. :1-16

We establish a variant for spheres of results obtained in \cite{HK}, \cite{BBK} for affine space. The principal result, that, if $m$ is a power of $2$ and $k\geq 1$, then $km$ continuous densities on the unit sphere in $\mathbb R^{m+1}$ may be simult

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::887ec8acc0c3804c9c08a58121b55f1b
https://doi.org/10.12775/tmna.2020.047

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