Wyniki wyszukiwania

1

A decomposition theorem for compact groups with an application to supercompactness

100%

Kubiś W., Turek S.

Open Mathematics

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2011

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tom 9

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nr 3

593-602

EN

We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.

2

Boolean algebras admitting a countable minimally acting group

81%

Błaszczyk A., Kucharski A., Turek S.

Open Mathematics

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2014

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tom 12

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nr 1

46-56

EN

The aim of this paper is to show that every infinite Boolean algebra which admits a countable minimally acting group contains a dense projective subalgebra.

3

Characterizing chainable, tree-like, and circle-like continua

81%

Banakh T., Kosztołowicz Z., Turek S.

Colloquium Mathematicum

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2011

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tom 124

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nr 1

1-13

EN

We prove that a continuum X is tree-like (resp. circle-like, chainable) if and only if for each open cover 𝓤₄ = {U₁,U₂,U₃,U₄} of X there is a 𝓤₄-map f: X → Y onto a tree (resp. onto the circle, onto the interval). A continuum X is an acyclic curve if and only if for each open cover 𝓤₃ = {U₁,U₂,U₃} of X there is a 𝓤₃-map f: X → Y onto a tree (or the interval [0,1]).

Ograniczanie wyników

2 Open Mathematics

1 Colloquium Mathematicum

3 Turek S.

1 Banakh T.

1 Błaszczyk A.

1 Kosztołowicz Z.

1 Kubiś W.

1 Kucharski A.

1 2014

2 2011

A decomposition theorem for compact groups with an application to supercompactness

Boolean algebras admitting a countable minimally acting group

Characterizing chainable, tree-like, and circle-like continua