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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Planar embeddings of Minc's continuum and generalizations

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Author(s):
Anusic, Ana [1]
Total Authors: 1
Affiliation:
[1] Univ Sao Paulo, IME, Dept Matemat Aplicada, Rua Matao 1010, Cidade Univ, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Topology and its Applications; v. 292, APR 1 2021.
Web of Science Citations: 0
Abstract

We show that if f : I -> I is piecewise monotone, post-critically finite, and locally eventually onto, then for every point x is an element of X = (lim) under left arrow-(I, f) there exists a planar embedding of X such that x is accessible. In particular, every point x in Minc's continuum X-M from {[}11, Question 19 p. 335] can be embedded accessibly. All constructed embeddings are thin, i.e., can be covered by an arbitrary small chain of open sets which are connected in the plane. (C) 2020 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 18/17585-5 - Topological structure of Lozi attractors
Grantee:Ana Anusic
Support Opportunities: Scholarships in Brazil - Post-Doctoral