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Around a Hurewiczs formula
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
Shimane University, Department Math, Matsue, Shimane 6908504, Japan .
2012 (English)In: Topology and its Applications, ISSN 0166-8641, E-ISSN 1879-3207, Vol. 159, no 6, 1536-1544 p.Article in journal (Refereed) Published
Abstract [en]

Some relevant questions around the Hurewiczs formula for the dimension-lowering mappings are under the discussion. In particular, we generalize the notion of a fully closed mapping introduced by V.V. Fedorchuk and find for such new mappings an evaluation formula for the dimension Ind(0) (resp. Ind) of preimages via the dimension Ind(0) (resp. Ind) of images.

Place, publisher, year, edition, pages
Elsevier , 2012. Vol. 159, no 6, 1536-1544 p.
Keyword [en]
Hurewiczs formula, Large inductive dimension, Fully closed mapping, Base dimension
National Category
Medical and Health Sciences
Identifiers
URN: urn:nbn:se:liu:diva-76803DOI: 10.1016/j.topol.2010.12.017ISI: 000301821600005OAI: oai:DiVA.org:liu-76803DiVA: diva2:516851
Note

Funding Agencies|Japan Society for the Promotion of Science|22540084|

Available from: 2012-04-20 Created: 2012-04-20 Last updated: 2017-12-07

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Chatyrko, Vitalij A
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