Cohomological dimension of Markov compacta

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dc.creatorDranishnikov, Alexander
dc.date2006-11-01
dc.date.accessioned2026-07-07T07:32:25Z
dc.date.available2026-07-07T07:32:25Z
dc.descriptionWe rephrase Gromov's definition of Markov compacta, introduce a subclass of Markov compacta defined by one building block and study cohomological dimensions of these compacta. We show that for a Markov compactum $X$, $\dim_{\Z_{(p)}}X=\dim_{\Q}X$ for all but finitely many primes $p$ where $\Z_{(p)}$ is the localization of $\Z$ at $p$. We construct Markov compacta of arbitrarily large dimension having $\dim_{\Q}X=1$ as well as Markov compacta of arbitrary large rational dimension with $\dim_{\Z_p}X=1$ for a given $p$.
dc.identifierhttps://arxiv.org/abs/math/0611028
dc.identifierhttp://arxiv.org/abs/math/0611028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119105
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject55M10
dc.titleCohomological dimension of Markov compacta
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