Generically hereditarily equivalent continua and topological characterization of generic maximal chains of generalized Ważewski dendrites
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10511052" target="_blank" >RIV/00216208:11320/25:10511052 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=zJuD8WB-DJ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=zJuD8WB-DJ</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40879-025-00868-z" target="_blank" >10.1007/s40879-025-00868-z</a>
Alternative languages
Result language
angličtina
Original language name
Generically hereditarily equivalent continua and topological characterization of generic maximal chains of generalized Ważewski dendrites
Original language description
The notion of hereditarily equivalent continua is classical in continuum theory with only two known nondegenerate examples (arc, and pseudo-arc). In this paper we introduce generically hereditarily equivalent continua, i.e. continua which are homeomorphic to comeager many subcontinua. We investigate this notion in the realm of Peano continua and we prove that all the generalized Wa & zdot;ewski dendrites are such. Consequently, we study maximal chains consisting of subcontinua of generalized Wa & zdot;ewski dendrites and we prove that there is always a comeager orbit under the natural action of the homeomorphism group. As a part of the proof, we provide a topological characterization of the generic maximal chain.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA24-10705S" target="_blank" >GA24-10705S: The complexity of continuous and linear classification problem</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European journal of mathematics
ISSN
2199-675X
e-ISSN
2199-6768
Volume of the periodical
11
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
36
Pages from-to
75
UT code for WoS article
001594104800001
EID of the result in the Scopus database
2-s2.0-105018846235