Waraszkiewicz spirals revisited

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10128924" target="_blank" >RIV/00216208:11320/12:10128924 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.4064/fm219-2-1" target="_blank" >http://dx.doi.org/10.4064/fm219-2-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4064/fm219-2-1" target="_blank" >10.4064/fm219-2-1</a>

Result language

angličtina

Original language name

Waraszkiewicz spirals revisited

Original language description

We study compactifications of a ray with remainder a simple closed curve. We give necessary and sufficient conditions for the existence of a bijective (resp. surjective) mapping between two such continua. Using those conditions we present a simple proofof the existence of an uncountable family of plane continua no one of which can be continuously mapped onto any other (the first such family, so called Waraszkiewicz's spirals, was created by Z. Waraszkiewicz in the 1930's).

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Fundamenta Mathematicae

ISSN

0016-2736

e-ISSN

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Volume of the periodical

219

Issue of the periodical within the volume

2

Country of publishing house

PL - POLAND

Number of pages

8

Pages from-to

97-104

UT code for WoS article

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EID of the result in the Scopus database

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