Tree sums of maximal connected spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10408144" target="_blank" >RIV/00216208:11320/19:10408144 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YLxZ9NeVJT" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YLxZ9NeVJT</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2018.11.004" target="_blank" >10.1016/j.topol.2018.11.004</a>

Result language
angličtina
Original language name
Tree sums of maximal connected spaces
Original language description
A topology tau on a set X is called maximal connected if it is connected, but no strictly finer topology tau* > tau is connected. We consider a construction of so-called tree sums of topological spaces, and we show how this construction preserves maximal connectedness and also related properties of strong connectedness and essential connectedness. We also recall the characterization of finitely generated maximal connected spaces and reformulate it in the language of specialization preorder and graphs, from which it is clear that finitely generated maximal connected spaces are precisely T-1/2-compatible tree sums of copies of the Sierpinski space. (C) 2018 Elsevier B.V. All rights reserved.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

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

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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