Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

A decomposition theorem for compact groups with an application to supercompactness

100%

Kubiś W., Turek S.

Open Mathematics

2011

tom 9

nr 3

593-602

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 As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.

Coverings and dimensions in infinite profinite groups

100%

Maga P.

Open Mathematics

2013

tom 11

nr 2

246-253

Answering a question of Miklós Abért, we prove that an infinite profinite group cannot be the union of less than continuum many translates of a compact subset of box dimension less than 1. Furthermore, we show that it is consistent with the axioms of set theory that in any infinite profinite group there exists a compact subset of Hausdorff dimension 0 such that one can cover the group by less than continuum many translates of it.

Ograniczanie wyników

2 Open Mathematics

1 Kubiś W.

1 Maga P.

1 Turek S.

1 2013

1 2011

Wyniki wyszukiwania

A decomposition theorem for compact groups with an application to supercompactness

Coverings and dimensions in infinite profinite groups