On the connectivity of graph Lipscomb's spaces
DOI10.1007/S11784-024-01150-7MaRDI QIDQ6657522
Radu Miculescu, Wiesław Kubiś, Magdalena Nowak, Alexandru Mihail
Publication date: 6 January 2025
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
connectednessgraphattractorinverse limitgraph Lipscomb's spacepossibly infinite iterated function system
Applications of graph theory (05C90) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractals (28A80) Quotient spaces, decompositions in general topology (54B15) Connected and locally connected spaces (general aspects) (54D05) Embedding (54C25) Dynamical systems involving maps of trees and graphs (37E25)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A generalization of IFS with probabilities to infinitely many maps
- Radix expansions and connectedness of planar self-affine fractals
- On the connected components of IFS fractals
- A characterization of compact operators via the non-connectedness of the attractors of a family of IFSs
- Graph Lipscomb's space is a generalized Hutchinson-Barnsley fractal
- Analysis on fractals
- Fractals and Universal Spaces in Dimension Theory
- On the structure of self-similar sets
- Lipscomb's L(A) Space Fractalized in Hilbert's l 2 (A) Space
- An Imbedding Theorem for Metric Spaces
- Infinite Iterated Function Systems
- A generalization of Istrățescu’s fixed point theorem for convex contractions
- Dimensions and Measures in Infinite Iterated Function Systems
- Lipscomb’s universal space is the attractor of an infinite iterated function system
- Lipscomb's space $\omega^{A}$ is the attractor of an infinite IFS containing affine transformations of $l^{2}(A)$
- The Hutchinson-Barnsley theory for infinite iterated function systems
This page was built for publication: On the connectivity of graph Lipscomb's spaces
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6657522)
