Small scattered topological invariants

We present a unified approach to define dimension functionslike $rind$, $rind_p$, $rt$ and~$p$. We show how somesimilar facts on these functions can be proved similarly.Moreover, several new classes of infinite-dimensional spacesclose to the classes of countable-dimensional and$sigma$-hereditarily d...

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Bibliographic Details
Main Authors: V. Chatyrko, Ya. Hattori
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2013-07-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/texts/2013/39_2/212-222.pdf
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Summary:We present a unified approach to define dimension functionslike $rind$, $rind_p$, $rt$ and~$p$. We show how somesimilar facts on these functions can be proved similarly.Moreover, several new classes of infinite-dimensional spacesclose to the classes of countable-dimensional and$sigma$-hereditarily disconnected ones are introduced. Weprove a compactification theorem for these classes.
ISSN:1027-4634