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单词 Continuum
释义

continuum


A continuumMathworldPlanetmathPlanetmath is a compactPlanetmathPlanetmath connectedPlanetmathPlanetmath topological spaceMathworldPlanetmath.Some authors impose additional conditions and require that the space be nondegenerate, HausdorffPlanetmathPlanetmath,or metric.

References

  • SS Lynn Arthur Steen and J. Arthur Seebach, Jr,Counterexamples in Topology, Springer-Verlag, 1978, p. 33
  • HY John G. Hocking, and Gail S. Young,Topology, Dover Publications, New York, 1988, p. 43
  • G Steven A. Gaal,Point Set Topology, Academic Press, New York, 1964, p. 103
  • MCG Michael C. Gemignani,Elementary Topology, 2nd ed. Dover Publications, New York, 1990, p. 202
  • NEW M.H.A. Newman,Elements of the Topology of Plane Sets of Points, Cambridge University Press, 1964, p. 71
  • W Stephen Willard,General Topology, Addison-Wesley, Reading, MA, 1970, p. 203
  • WI Raymond Louis Wilder,Topology of Manifolds, Amer. Math. Society, Providence, RI, 1963, p. 36
  • MI J. van Mill, G.M. Reed, editors,Open Problems in Topology, North-Holland, Amsterdam, 1990, p. 305
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