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弱上极限及其性质 被引量:1

WEAK-COLIMITS AND THEIR PROPERTIES
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摘要 系统讨论了弱上极限与弱极限的有关性质 。 The properties of weak colimits are discussed systematically. A new expression to Browns representation theorem in the terms of colimit is given.
作者 易建新
出处 《华南师范大学学报(自然科学版)》 CAS 2000年第3期16-20,共5页 Journal of South China Normal University(Natural Science Edition)
关键词 弱上极限 抽象同伦范畴 同伦函子 colimit abstract homotopy Category homotopy functor
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参考文献5

  • 1 Edwin H Spanier. Algebraic Topology [M]. New York:Springer-Verlag, 1966. 406~407.
  • 2 E H Brown. Abstract homotopy theory [J]. Trans Amer Math Soc, 1965, 119: 79~85.
  • 3 N Popescu, L Popescu. Theory of Categories [M]. Bucharest: Sijthoff &Noordhoff International Publishers, 1979. 2~20.
  • 4 B Mitchell. Theory of Categories [M]. New York and London: Academic Press,1965. 10~20.
  • 5 S MacLane. Categories for the working Mathematician [M]. New York:Springer-Verlag, 1971. 55~68.

同被引文献7

  • 1ADAMS J F. Idempotent fimctors in homotopy theory[A]. In: Proe Geometry Conf[ C ]. Tokyo:Spring, 1973:247 -253.
  • 2DELEANU A. Existence of the Adams completion for objects of cocomplete categories[J]. J of Pure and Appl Algebra, 1973,6:31 - 39.
  • 3CASACUBERTA C, PESCHK G, PFENNIGER M. On orthogonal pairs in categories and localization[A]. In: London Math Soc Lecture Note Ser, Vol 86[M]. Cambridge: Cambridge University Press, 1983:154- 163.
  • 4POPESCU N, POPESCU L. Theory of Categories [ M]. Bucharest: Sijthoff & Noordhoff International Publishers, 1979:20 - 50.
  • 5BROWN E H Jr. Abstract homotopy theory[J]. Trans Amer Math Soc,1965,119:79- 85.
  • 6DELEANU A. Existenee of the Adams completion for CW- complexes[J]. J of Pure and Appl Algebra, 1974,4:299- 308.
  • 7沈文淮,易建新,丁鹏,代雄平.Adams完备化与局部化的等价性[J].Journal of Mathematical Research and Exposition,1997,17(2):243-246. 被引量:1

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