Cohomological Dimension of Markov Compacta
نویسنده
چکیده
We 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, dimZ(p) X = dimQ 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 dimQ X = 1 as well as Markov compacta of arbitrary large rational dimension with dimZp X = 1 for a given p.
منابع مشابه
Cohomological Dimension Theory of Compact Metric Spaces
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