R. Karasev

activity

20092026

most citedFrom Symplectic Measurements to the Mahler Conjecture

83 citations · 542 across the 80 of their papers we have counts for

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Showing 2009 · math.MGShow all

2 papers · 2 filters

math.MG2009★ 3 cited

Knaster's problem for $(Z_{2})^{k}$ -symmetric subsets of the sphere $S^{2^{k} - 1}$

R. N. Karasev

We prove a Knaster-type result for orbits of the group $(Z_{2})^{k}$ in $S^{2^{k} - 1}$ , calculating the Euler class obstruction. Among the consequences are: a result about inscribing skew…

math.MG2009★ 5 cited

Analogues of the central point theorem for families with $d$ -intersection property in $R^{d}$

R. N. Karasev

In this paper we consider families of compact convex sets in $R^{d}$ such that any subfamily of size at most $d$ has a nonempty intersection. We prove some analogues of the c…

Knaster's problem for (Z2​)k-symmetric subsets of the sphere S2k−1

Analogues of the central point theorem for families with d-intersection property in Rd

Knaster's problem for $(Z_{2})^{k}$ -symmetric subsets of the sphere $S^{2^{k} - 1}$

Analogues of the central point theorem for families with $d$ -intersection property in $R^{d}$