Document Zbl 0671.55004

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Knaster’s problem on continuous mappings of a sphere into a Euclidean space. (Russian. English summary) Zbl 0671.55004

Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 167, 169-178 (1988).

Summary: The paper contains a survey of known results and some remarks on the well-known problem of Knaster [B. Knaster, Problem P4, Colloq. Math. 1, 30-31 (1947)] which is concerned with coincidence points of mappings from the n-sphere into Euclidean spaces of lower dimension.

Cited in 1 Review

Cited in 5 Documents

MSC:

55M20	Fixed points and coincidences in algebraic topology
57N15	Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)) (MSC2010)

Keywords:

coincidence points; mappings from the n-sphere into Euclidean spaces

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