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Transfinite extension of Steinke's dimension
Univ Almeria, Fac Sci, Area Geometry & Topol, Almeria 04120, Spain Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden.
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
Univ Almeria, Fac Sci, Area Geometry & Topol, Almeria 04120, Spain Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden.
2000 (English)In: Acta Mathematica Hungarica, ISSN 0236-5294, E-ISSN 1588-2632, Vol. 88, no 1-2, 105-112 p.Article in journal (Refereed) Published
Abstract [en]

We introduce a transfinite extension trt of dimension t from [10]. We extend all main theorems for t such as the sum theorems, the product theorem and the compactification theorem to the transfinite numbers. We also consider the class of all spaces X with trt (X) = omega(0), the so called finite-dimensional separated spaces [2], with respect to the usual classes of infinite-dimensional spaces.

Place, publisher, year, edition, pages
2000. Vol. 88, no 1-2, 105-112 p.
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-49615OAI: oai:DiVA.org:liu-49615DiVA: diva2:270511
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-12

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