Isomorphisms of spaces of continuous affine functions on compact convex sets with Lindelöf boundaries

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10105822" target="_blank" >RIV/00216208:11320/11:10105822 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1090/S0002-9939-2010-10534-8" target="_blank" >http://dx.doi.org/10.1090/S0002-9939-2010-10534-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1090/S0002-9939-2010-10534-8" target="_blank" >10.1090/S0002-9939-2010-10534-8</a>

Result language

angličtina

Original language name

Isomorphisms of spaces of continuous affine functions on compact convex sets with Lindelöf boundaries

Original language description

Let X, Y be compact convex sets such that every extreme point of X and Y is a weak peak point and both ext X and ext Y are Lindelof spaces. We prove that, if there exists a special isomorphism T, then ext X is homeomorphic to ext Y . This generalizes results of H. B. Cohen and C. H. Chu.

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

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

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

Name of the periodical

Proceedings of the American Mathematical Society

ISSN

0002-9939

e-ISSN

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Volume of the periodical

139

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

6

Pages from-to

1099-1104

UT code for WoS article

000288727900033

EID of the result in the Scopus database

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