Výsledky vyhledávání - "Hohti, Aarno"

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Locales, the locally fine construction and formal spaces

Autor: Hohti, Aarno

We investigate the connection between the spatiality of locale products and the earlier studies of the author on the locally fine coreflection of the products of uniform spaces. After giving a historical introduction and indicating the connection bet

Externí odkaz: http://arxiv.org/abs/math/0208252

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The Locally Fine Coreflection and Normal Covers in the Products of Partition-complete Spaces

Autor: Hohti, Aarno, Husek, Miroslav, Pelant, Jan

We prove that the countable product of supercomplete spaces having a countable closed cover consisting of partition-complete subspaces is supercomplete with respect to its metric-fine coreflection. Thus, countable products of sigma-partition-complete

Externí odkaz: http://arxiv.org/abs/math/0208182

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Recursive Synthesis and the Foundations of Mathematics

Autor: Hohti, Aarno

This paper presents mathematics as a general science of computation in a way different from the tradition. It is based on the radical philosophical standpoint according to which the content, meaning and justification of experience lies in its precise

Externí odkaz: http://arxiv.org/abs/math/0208184

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An Infinitary version of Sperner's lemma

Autor: Hohti, Aarno

We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.
Comment: 9 page

Externí odkaz: http://arxiv.org/abs/math/0208141

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