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arcwise connected space

См. также в других словарях:

  • Connected space — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected …   Wikipedia

  • Peano space — In point set topology, a branch of mathematics, a Peano space, named after Giuseppe Peano, is a compact, connected, locally connected metric space.Properties*Every Peano space is arcwise connected, more generally every open connected subset of a… …   Wikipedia

  • Continuum (topology) — In the mathematical field of point set topology, a continuum (pl continua) is a nonempty compact connected metric space, or less frequently, a compact connected Hausdorff topological space. Continuum theory is the branch of topology devoted to… …   Wikipedia

  • Rips machine — In geometric group theory, the Rips machine is a method of studying the action of groups on R trees. It was introduced in unpublished work of Eliyahu Rips in about 1991. An R tree is a uniquely arcwise connected metric space in which every arc is …   Wikipedia

  • Hilbert's fifth problem — Hilbert s fifth problem, from the Hilbert problems list promulgated in 1900 by David Hilbert, concerns the characterization of Lie groups. The theory of Lie groups describes continuous symmetry in mathematics; its importance there and in… …   Wikipedia

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