Finite-sheeted covering spaces and a Near Local Homeomorphism Property for pseudosolenoids

Kód výsledku v 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>
Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Finite-sheeted covering spaces and a Near Local Homeomorphism Property for pseudosolenoids
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Finite-sheeted covering spaces and a Near Local Homeomorphism Property for pseudosolenoids
Popis výsledku anglicky
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.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
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Rok uplatnění
2013
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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