The Katowice problem and autohomeomorphisms of $omega_0^*$
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00466744" target="_blank" >RIV/67985840:_____/16:00466744 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.topol.2016.08.006" target="_blank" >http://dx.doi.org/10.1016/j.topol.2016.08.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2016.08.006" target="_blank" >10.1016/j.topol.2016.08.006</a>
Alternative languages
Result language
angličtina
Original language name
The Katowice problem and autohomeomorphisms of $omega_0^*$
Original language description
We show that the existence of a homeomorphism between omega(*)(0) and omega(*)(1) entails the existence of a non-trivial autohomeomorphism of omega(*)(0). This answers Problem 441 in [8]. We also discuss the joint consistency of various consequences of omega(*)(0) and omega(*)(1) being homeomorphic.
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
<a href="/en/project/GF15-34700L" target="_blank" >GF15-34700L: The continuum, forcing and large cardinals</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Topology and its Applications
ISSN
0166-8641
e-ISSN
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Volume of the periodical
213
Issue of the periodical within the volume
November 1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
8
Pages from-to
230-237
UT code for WoS article
000387834000018
EID of the result in the Scopus database
2-s2.0-84994257520