TheBanach-Mazur compacta are absolute retracts

• Autorzy: Antonian S.
• Języki publikacji: EN

Abstrakty

EN

We prove that the space N(E) of all norms on n-dimensional linear space E is a proper G-space under the natural action of the full linear group G = GL(n). The Banach-Mazur compactum Q(n) is just the orbit space of the G-space N(E). We show here that for any n [is greater than or equal to] 1, Q(n) is an absolute retract for metric spaces. We generalize this fact be showing that for a locally compact almost connected group G, its maximal compact subgroup K, and a proper G-space X, X/G is an A(N)R space provided it is metrizable and X is a K-A(N)R space.

Słowa kluczowe

EN

norm; orbit space; proper G-space

PL

G-ANR-space \\@en\; norma; orbita; retrakt absolutny; topologia

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 2
• Strony: 113--119
• Opis fizyczny: Bibliogr. 12 poz.,

Twórcy

autor

Antonian S.