"subsimplices" meaning in English

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          "ref": "2016, A. Skopenkov, “A user's guide to disproof of topological Tverberg conjecture”, in arXiv:",
          "text": "The conjecture asserts that for each integers r,d#x3E;0 and each continuous map f#x5C;colon#x5C;Delta#x5C;to#x5C;mathbbRᵈ of the (d#x2B;1)(r-1)-dimensional simplex #x5C;Delta there are pairwise disjoint subsimplices #x5C;sigma#x5F;1,#x5C;ldots,#x5C;sigma#x5F;r#x5C;subset#x5C;Delta such that f(#x5C;sigma#x5F;1)#x5C;cap#x5C;ldots#x5C;capf(#x5C;sigma#x5F;r)#x5C;ne#x5C;emptyset. A counterexample was found in a series of papers by M. \\\"Ozaydin, M.",
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  "word": "subsimplices"
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