On the boundedness of equivariant homeomorphism groups

• Autorzy: Lech J. , Michalik I. , Rybicki T.

Identyfikatory

DOI

10.7494/OpMath.2018.38.3.395

• Języki publikacji: EN

Abstrakty

EN

Given a principal G-bundle [formula] let HG(M) be the identity component of the group of G-equivariant homeomorphisms on M. The problem of the uniform perfectness and boundedness of HG(M) is studied. It occurs that these properties depend on the structure of H(B), the identity component of the group of homeomorphisms of B, and of B itself. Most of the obtained results still hold in the [formula] category.

Słowa kluczowe

EN

principal G-manifold; equivariant homeomorphism; uniformly perfect,; bounded; Cr equivariant diffeomorphism

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 3
• Strony: 395--408
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Lech J.

• AGH University of Science and Technology Faculty of Applied Mathematics al. A. Mickiewicza 30, 30-059 Krakow, Poland

autor

Michalik I.

• AGH University of Science and Technology Faculty of Applied Mathematics al. A. Mickiewicza 30, 30-059 Krakow, Poland

autor

Rybicki T.

• AGH University of Science and Technology Faculty of Applied Mathematics al. A. Mickiewicza 30, 30-059 Krakow, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).