On Wilder, Strongly Wilder, Continuumwise Wilder, D, $$D^*$$, and $$D^{**}$$ Continua-Reference-Cited by-同舟云学术

On Wilder, Strongly Wilder, Continuumwise Wilder, D, $$D^*$$, and $$D^{**}$$ Continua

Published:2024-04-23 Issue:3 Volume:47 Page:
ISSN:0126-6705
Container-title:Bulletin of the Malaysian Mathematical Sciences Society
language:en
Short-container-title:Bull. Malays. Math. Sci. Soc.

Author:

Camargo Javier^ORCID,Macías Sergio^ORCID

Abstract

AbstractWe study properties of Wilder, strongly Wilder, continuumwise Wilder, D,

$$D^*$$

D ∗ , and

$$D^{**}$$

D ∗ ∗ Hausdorff continua. We present an example of a colocally connected continuum that is not a

$$D^*$$

D ∗ -continuum, answering a question by Espinoza and Matsuhashi. We give several positive answers to this question for unicoherent continua. We also present some equivalences for the class of homogeneous Hausdorff continua with the property of Kelley.

Funder

Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México

Vicerrectoría de Investigación y Extensión, Universidad Industrial de Santander

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s40840-024-01688-2.pdf

Reference28 articles.

1. Bellamy, D.P., Porter, K.F.: A homogeneous continuum that is non-Effros. Proc. Am. Math. Soc. 113, 593–598 (1991)

2. Charatonik, J.J., Macías, S.: Mappings of some hyperspaces. JP J. Geom. Topol. 4, 53–80 (2004)

3. Charatonik, W.J.: A homogeneous continuum without the property of Kelley. Topol. Appl. 96, 209–216 (1999)

4. Engelking, R.: General Topology, Sigma Series in Pure Mathematics, vol. 6. Heldermann, Berlin (1989)

5. Espinoza, B., Matsuhashi, E.: Weakly Whitney preserving mappings. Topol. Appl. 262, 90–108 (2019)

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