Core decompositions of continua

We prove a decomposition theorem for a class of continua for which F. B.. Jones's set function 𝓣 is continuous. This gives a partial answer to a question of D. Bellamy.

A classification of continua by certain cutting properties

E. Thomas (1967)

Fundamenta Mathematicae

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Monotone decompositions of hereditarily unicoherent continua via set functions and quasi-orders

G. Gordh, Eldon Vought (1984)

Fundamenta Mathematicae

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Continuous monotone decompositions of planar curves

J. Krasinkiewicz, Piotr Minc (1980)

Fundamenta Mathematicae

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On decompositions of Hausdorff continua

Zbigniew M. Rakowski

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CONTENTSIntroduction................... 5Preliminaries......................... 7Chapter 1................................ 9Chapter 2................................ 17Chapter 3................................ 25Additional remarks............... 28References............................ 31