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Topology of the hyperspace of convex bodies of constant width

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Publication:1277488
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DOI10.1007/BF02355455zbMath0926.54007MaRDI QIDQ1277488

L. E. Bazilevich

Publication date: 21 November 1999

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

ANRconvex body of constant width\(Q\)-manifold


Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Topology of infinite-dimensional manifolds (57N20)


Related Items (5)

Hyperspaces of smooth convex bodies up to congruence ⋮ Hyperspaces of convex bodies of constant width ⋮ Infinite-dimensional hyperspaces of convex bodies of constant width ⋮ On convex bodies of constant width ⋮ On the topology of some hyperspaces of convex bodies associated to tensor norms



Cites Work

  • Unnamed Item
  • On the hyperspace of strictly convex bodies
  • On CE-images of the Hubert cube and characterization of Q-manifolds


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