| dc.contributor.author |
Antonyan, SA |
|
| dc.date.accessioned |
2011-01-22T10:27:27Z |
|
| dc.date.available |
2011-01-22T10:27:27Z |
|
| dc.date.issued |
2000 |
|
| dc.identifier.issn |
0016-2736 |
|
| dc.identifier.uri |
http://hdl.handle.net/11154/1987 |
|
| dc.description.abstract |
Let J(n) be the hyperspace of all centrally symmetric compact convex bodies A subset of or equal to R-n, n greater than or equal to 2, for which the ordinary Euclidean unit ball is the ellipsoid of maximal volume contained in A (the John ellipsoid). Let J(0)(n) be the complement of the unique O(n)-fixed point in J(n). We prove that: (1) the Banach-Mazur compactum BM(n) is homeomorphic to the orbit space J(n)/O(n) of the natural action of the orthogonal group O(n) on J(n) |
en_US |
| dc.description.abstract |
(2) J(n) is an O(n)-AR |
en_US |
| dc.description.abstract |
(3) J(0)(2)/SO(2) is an Eilenberg-MacLane space K(Q, 2) |
en_US |
| dc.description.abstract |
(4) BM0(2) = J(0)(2)/O(2) is noncontractible |
en_US |
| dc.description.abstract |
(5) BM(2) is a nonhomogeneous absolute retract. Other models for BM(n) are established. |
en_US |
| dc.language.iso |
en |
en_US |
| dc.title |
The topology of the Banach-Mazur compactum |
en_US |
| dc.type |
Article |
en_US |
| dc.identifier.idprometeo |
2377 |
|
| dc.source.novolpages |
166(3):209-232 |
|
| dc.subject.wos |
Mathematics |
|
| dc.description.index |
WoS: SCI, SSCI o AHCI |
|
| dc.subject.keywords |
Banach-Mazur compactum |
|
| dc.subject.keywords |
G-ANR |
|
| dc.subject.keywords |
orbit space |
|
| dc.subject.keywords |
Q-manifold |
|
| dc.subject.keywords |
homotopy type |
|
| dc.subject.keywords |
Eilenberg-MacLane space K(Q, 2) |
|
| dc.relation.journal |
Fundamenta Mathematicae |
|