Half-homogeneous chainable continua with end-points

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10134328" target="_blank" >RIV/00216208:11320/13:10134328 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21110/13:00215350

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Half-homogeneous chainable continua with end-points

Original language description

A point of a chainable continuum is called an end point if for every positive epsilon there is an epsilon-chain such that only the first link contains the point. We prove that up to homeomorphism there are only two half-homogeneous chainable continua with two end points. One of them is an arc and the second one is the quotient of an arc of pseudo-arcs, where the two maximal continua containing only end points are pushed to points. This answers a question of the second and third authors. Moreover we prove that the two above mentioned continua are the only half-homogeneous chainable continua with a nonempty finite set of end points.

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

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

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

Name of the periodical

Topology and its Applications

ISSN

0166-8641

e-ISSN

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Volume of the periodical

160

Issue of the periodical within the volume

9

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

7

Pages from-to

1066-1073

UT code for WoS article

000319717800004

EID of the result in the Scopus database

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