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Constructions of thin-tall Boolean spaces.

Juan Carlos Martínez (2003)

Revista Matemática Complutense

This is an expository paper about constructions of locally compact, Hausdorff, scattered spaces whose Cantor-Bendixson height has cardinality greater than their Cantor-Bendixson width.

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(1967)

General Topology and its Relations to Modern Analysis and Algebra

Contents

(1962)

General Topology and its Relations to Modern Analysis and Algebra

Contents

(1977)

General topology and its relations to modern analysis and algebra IV

Contents

(1972)

General Topology and its Relations to Modern Analysis and Algebra

Contents

(1977)

General topology and its relations to modern analysis and algebra IV

Continua which admit no mean

K. Kawamura, E. Tymchatyn (1996)

Colloquium Mathematicae

A symmetric, idempotent, continuous binary operation on a space is called a mean. In this paper, we provide a criterion for the non-existence of mean on a certain class of continua which includes tree-like continua. This generalizes a result of Bell and Watson. We also prove that any hereditarily indecomposable circle-like continuum admits no mean.

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