A universal planar completely regular continuum

Sophia Zafiridou

Displaying similar documents to “A universal planar completely regular continuum”

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Jacek Nikiel (1989)

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Complexity of curves

Udayan B. Darji, Alberto Marcone (2004)

Fundamenta Mathematicae

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We show that each of the classes of hereditarily locally connected, finitely Suslinian, and Suslinian continua is Π₁¹-complete, while the class of regular continua is Π₀⁴-complete.

On a problem of Menger concerning regular curves

J. Roberts (1929)

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Non-separating subcontinua of planar continua

D. Daniel, C. Islas, R. Leonel, E. D. Tymchatyn (2015)

Colloquium Mathematicae

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We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.

Undecidability of the existence of regular extremally disconnected S-spaces

Andrzej Szymański (1980)

Colloquium Mathematicae

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Continua which cannot be mapped onto any nonplaner circle-like continuum

George W. Henderson (1971)

Colloquium Mathematicae

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On two theorems of Dyer

J. Krasinkiewicz (1986)

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Chainable continua and homeomorphisms of the plane onto itself

Mirosław Sobolewski (1984)

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On Cosserat continua

S. Drobot (1971)

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An Exactly Two-to-One Map from an Indecomposable Chainable Continuum

Jerzy Krzempek (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

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It is shown that a certain indecomposable chainable continuum is the domain of an exactly two-to-one continuous map. This answers a question of Jo W. Heath.

1/2-Homogeneous hyperspace suspensions

Sergio Macías, Patricia Pellicer-Covarrubias (2012)

Colloquium Mathematicae

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We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.