Discrete Vector Fields and Fundamental Algebraic Topology

@article{Romero2010DiscreteVF,
  title={Discrete Vector Fields and Fundamental Algebraic Topology},
  author={Ana Romero and Francis Sergeraert},
  journal={CoRR},
  year={2010},
  volume={abs/1005.5685}
}
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… CONTINUE READING
Highly Cited
This paper has 22 citations. REVIEW CITATIONS
Tweets
This paper has been referenced on Twitter 1 time. VIEW TWEETS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 19 references

A case study of A∞structure

  • Ainhoa Berciano, Julio Rubio, Francis Sergeraert
  • Georgian Mathematical Journal,
  • 2010
Highly Influential
4 Excerpts

The twisted Eilenberg-Zilber theorem

  • Ronnie Brown
  • Celebrazioni Arch. Secolo XX, Simp. Top.,
  • 1967
Highly Influential
4 Excerpts

Algebraic Models for Homotopy Types. Homology

  • Julio Rubio, Francis Sergeraert
  • Homotopy and Applications,
  • 2005
2 Excerpts

Postnikov “invariants

  • Julio Rubio, Francis Sergeraert
  • Georgian Mathematical Journal,
  • 2004
2 Excerpts

Operads in algebra, topology and physics

  • Martin Markl, Steve Shnider, Jim Stasheff
  • American Mathematical Society,
  • 2002