We present short proofs of two Tverberg-type theorems for cell complexes by S. Hasui, D. Kishimoto, M. Takeda, and M. Tsutaya. One of them states that for any prime power r, any simplicial sphere X of dimension $(d+1)(r-1)-1$, and any continuous map f:X→ Rᵈ there are pairwise disjoint faces σ₁,…,σᵣ of X such that f(σ₁)∩… f(σᵣ)≠∅.
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Карасев et al. (2024) studied this question.
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