Weakly Whitney preserving maps

Espinoza, Benjamin; Matsuhashi, Eiichi

doi:10.1016/j.topol.2019.05.010

Cited by 8 publications

(2 citation statements)

References 12 publications

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“…A continuum X is called a Wilder continuum if for any three distinct points x, y, z ∈ X, there exists a subcontinuum C ⊆ X such that x ∈ C and C contains exactly one of y and z. Wilder introduced the notion of a Wilder continuum in [15]. 1 Espinoza and the first author proved that each semiaposyndetic continuum is Wilder ([2, Theorem 3.6]).…”

Section: Introductionmentioning

confidence: 99%

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Some decomposable continua and Whitney levels of their hyperspaces

Matsuhashi¹,

Oshima²

2022

Preprint

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We introduce the new class of continua; D * * -continua. The classes of Wilder continua and D * -continua are strictly contained in the class of D * * -continua. Also, the class of D-continua is bigger than the class of D * *continua. Using D * * -continua, we give the negative answer to [2, Question 2]. Furthermore, we prove that being Wilder, being D, being D * and being D * * are Whitney properties.

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Section: Introductionmentioning

confidence: 99%

“…D-continua have some nice properties, see [1], [2], [8], [9], [10], and [11]. Furthermore, D-continua are related to continua introduced by Janiszewski [4].…”

Section: Introductionmentioning

confidence: 99%

Some decomposable continua and Whitney levels of their hyperspaces

Matsuhashi¹,

Oshima²

2022

Preprint

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

Camargo,

Macías

2024

Bull. Malays. Math. Sci. Soc.

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We 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.

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D-continua, D⁎-continua, and Wilder continua

Espinoza

Matsuhashi

2020

Topology and its Applications

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Weakly Whitney preserving maps

Cited by 8 publications

References 12 publications

Some decomposable continua and Whitney levels of their hyperspaces

Some decomposable continua and Whitney levels of their hyperspaces

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

D-continua, D⁎-continua, and Wilder continua

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