Obstructions to homotopy equivalences

@article{Halperin1979ObstructionsTH,
  title={Obstructions to homotopy equivalences},
  author={S. Halperin and J. Stasheff},
  journal={Advances in Mathematics},
  year={1979},
  volume={32},
  pages={233-279}
}
Abstract An obstruction theory is developed to decide when an isomorphism of rational cohomology can be realized by a rational homotopy equivalence (either between rationally nilpotent spaces, or between commutative graded differential algebras). This is used to show that a cohomology isomorphism can be so realized whenever it can be realized over some field extension (a result obtained independently by Sullivan). In particular an algorithmic method is given to decide when a c.g.d.a. has the… Expand
197 Citations
Deformation theory and rational homotopy type
  • 82
  • PDF
Rational homotopy theory for non-simply connected spaces
  • 21
  • PDF
The milnor-moore theorem in tame homotopy theory
  • 3
Obstruction theory for algebras over an operad
  • 1
  • PDF
Intrinsic formality and certain types of algebras
  • 7
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 43 REFERENCES
Two applications of homology decompositions
  • 11
Rational homotopy theory
  • 849
  • Highly Influential
  • PDF
Matric Massey products
  • 188
  • PDF
Opérations en cohomologie réelle
  • 9
  • PDF
...
1
2
3
4
5
...