|
This article is cited in 8 scientific papers (total in 8 papers)
Topology of the hyperspace of convex bodies of constant width
L. E. Bazilevich Lviv Polytechnic National University
Abstract:
The hyperspace of all convex bodies of constant width in Euclidean space $\mathbb R^n$, $n\ge2$, is proved to be homeomorphic to a contractible $Q$-manifold ($Q$ denotes the Hilbert cube). The proof makes use of an explicitly constructed retraction of the entire hyperspace of convex bodies on the hyperspace of convex bodies of constant width.
Received: 14.04.1995
Citation:
L. E. Bazilevich, “Topology of the hyperspace of convex bodies of constant width”, Mat. Zametki, 62:6 (1997), 813–819; Math. Notes, 62:6 (1997), 683–687
Linking options:
https://www.mathnet.ru/eng/mzm1670https://doi.org/10.4213/mzm1670 https://www.mathnet.ru/eng/mzm/v62/i6/p813
|
Statistics & downloads: |
Abstract page: | 315 | Full-text PDF : | 176 | References: | 42 | First page: | 1 |
|