Finite-sheeted covering spaces and a Near Local Homeomorphism Property for pseudosolenoids
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F13%3AA140191G" target="_blank" >RIV/61988987:17610/13:A140191G - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Finite-sheeted covering spaces and a Near Local Homeomorphism Property for pseudosolenoids
Original language description
Fox theory of overlays is used to characterize finite-sheeted covering spaces of pseudosolenoids (i.e. hereditarily indecomposable circle-like nonchainable continua). In addition, it is shown that most self-maps of pseudosolenoids are finite-sheeted covering maps. This result, based on a theorem of Kawamura, extends the near-homeomorphism property of the pseudoarc proved independently by Lewis and Smith, and relates to a question raised by Lewis in 1984, as to which other nondegenerate continua have thenear-homeomorphism property.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
TOPOL APPL
ISSN
0166-8641
e-ISSN
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Volume of the periodical
161
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
8
Pages from-to
235-242
UT code for WoS article
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EID of the result in the Scopus database
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