Effective Dispersion in Computable Metric Spaces (CROSBI ID 556054)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Iljazović, Zvonko
engleski
Effective Dispersion in Computable Metric Spaces
We investigate the relationship between computable metric spaces (X, d, alpha) and (X, d, beta), where (X, d) is a given metric space. In the case of Euclidean space, alpha and beta are equivalent up to isometry, which does not hold in general. We introduce the notion of effectively dispersed metric space. This notion is essential in the proof of the main result of this paper: (X, d, alpha) is effectively totally bounded if and only if (X, d, beta) is effectively totally bounded, i.e. the property that a computable metric space is effectively totally bounded (and in particular effectively compact) depends only on the underlying metric space.
computable metric space; effective separating sequence; computability structure; effectively totally bounded computable metric space; effectively dispersed metric space
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Podaci o prilogu
161-172.
2009.
objavljeno
Podaci o matičnoj publikaciji
6th Int'l Conf. on Computability and Complexity in Analysis
Andrej Bauer, Peter Hertling, Ker-I Ko
Wadern: Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany
978-3-939897-12-5
Podaci o skupu
Sixth International Conference on Computability and Complexity in Analysis
predavanje
18.08.2009-22.08.2009
Ljubljana, Slovenija