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Small Scattered Topological Invariants
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
Department of Mathematics, Shimane University, Matsue, Japan.
2013 (English)In: Matematychni Studii, ISSN 1027-4634, Vol. 39, no 2, 212-222 p.Article in journal (Refereed) Published
Abstract [en]

We present a unified approach to define dimension functions like trind, trindp, trt and p. We show how some similar facts on these functions can be proved similarly. Moreover, several new classes of infinite-dimensional spaces close to the classes of countable-dimensional and σ-hereditarily disconnected ones are introduced. We prove a compactification theorem for these classes.

Place, publisher, year, edition, pages
2013. Vol. 39, no 2, 212-222 p.
Keyword [en]
small transfinite inductive dimension, separation dimension, countable-dimensional spaces, σ -hereditarily disconnected spaces
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-108329OAI: oai:DiVA.org:liu-108329DiVA: diva2:729915
Available from: 2014-06-26 Created: 2014-06-26 Last updated: 2014-08-25Bibliographically approved

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Tjatyrko, Vitalij A.

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