On the connectivity of graph Lipscomb's spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00603075" target="_blank" >RIV/67985840:_____/25:00603075 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11784-024-01150-7" target="_blank" >https://doi.org/10.1007/s11784-024-01150-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11784-024-01150-7" target="_blank" >10.1007/s11784-024-01150-7</a>
Alternative languages
Result language
angličtina
Original language name
On the connectivity of graph Lipscomb's spaces
Original language description
A central role in topological dimension theory is played by Lipscomb’s space JA since it is a universal space for metric spaces of weight |A|≥ℵ0. On the one hand, Lipscomb’s space is the attractor of a possibly infinite iterated function system, i.e. it is a generalized Hutchinson-Barnsley fractal. As, on the other hand, some classical fractal sets are universal spaces, one can conclude that there exists a strong connection between topological dimension theory and fractal set theory. A generalization of Lipscomb’s space, using graphs, has been recently introduced (see Miculescu and Mihail in Aequat Math, 96:1141–1157, 2022). It is denoted by JAG and is called the graph Lipscomb’s space associated with the graph G on the set A. It turns out that it is a topological copy of a generalized Hutchinson-Barnsley fractal. This paper provides a characterization of those graphs G for which JAG is connected. In the particular case when A is finite, some supplementary characterizations are presented.
Czech name
—
Czech description
—
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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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
Journal of Fixed Point Theory and Applications
ISSN
1661-7738
e-ISSN
1661-7746
Volume of the periodical
27
Issue of the periodical within the volume
1
Country of publishing house
CH - SWITZERLAND
Number of pages
17
Pages from-to
1
UT code for WoS article
001374775800001
EID of the result in the Scopus database
2-s2.0-85212140141