Discrete Vector Fields and Fundamental Algebraic Topology

نویسندگان

  • Ana Romero
  • Francis Sergeraert
چکیده

2 Discrete vector fields. 4 2.1 W-contractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Algebraic discrete vector fields. . . . . . . . . . . . . . . . . . . . . 6 2.3 V-paths and admissible vector fields. . . . . . . . . . . . . . . . . . 7 2.4 Reductions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.4.1 Definition. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.4.2 The Homological Perturbation Theorem. . . . . . . . . . . . 12 2.5 A vector field generates a reduction. . . . . . . . . . . . . . . . . . . 12 2.5.1 Using Gauss elimination. . . . . . . . . . . . . . . . . . . . . 13 2.5.2 A vector field generates a reduction, first proof. . . . . . . . 15 2.5.3 Using the Homological Perturbation Theorem. . . . . . . . . 17

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عنوان ژورنال:
  • CoRR

دوره abs/1005.5685  شماره 

صفحات  -

تاریخ انتشار 2010