Cochain operations and higher cohomology operations

Stephan Klaus

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2001)

  • Volume: 42, Issue: 4, page 261-284
  • ISSN: 1245-530X

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Klaus, Stephan. "Cochain operations and higher cohomology operations." Cahiers de Topologie et Géométrie Différentielle Catégoriques 42.4 (2001): 261-284. <http://eudml.org/doc/91649>.

@article{Klaus2001,
author = {Klaus, Stephan},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {4},
pages = {261-284},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Cochain operations and higher cohomology operations},
url = {http://eudml.org/doc/91649},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Klaus, Stephan
TI - Cochain operations and higher cohomology operations
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2001
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 42
IS - 4
SP - 261
EP - 284
LA - eng
UR - http://eudml.org/doc/91649
ER -

References

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  4. [4] S. Klaus, On simplicial loops and H-spaces Preprint Mathematisches Forschungsinstitut Oberwolfach (1999), to appear in Topology and its Applications Zbl0989.55005MR1824167
  5. [5] S. Klaus, Towers and pyramids I, Preprint Mathematisches Forschungsinstitut Oberwolfach (1999), to appear in Forum Mathematicum Zbl0982.55003MR1858494
  6. [6] S. Klaus, A category of higher cohomology operations and finite spectra, Preprint Mathematisches Forschungsinstitut Oberwolfach (2000) 
  7. [7] S. Klaus, Cochain operations and subspace arrangements, Preprint Mathematisches Forschungsinstitut Oberwolfach (2000) Zbl1027.18008MR1961552
  8. [8] L. Kristensen, On secondary cohomology operations, Math. Scand.12, 57-82 (1963) Zbl0118.18303MR159333
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  11. [11] L. Kristensen, Massey products in Steenrod's algebra, Proc. Advanced Study Inst. on Algebraic Topology, Aarhus (1970), Vol. II, 240-255 Zbl0246.55012MR279807
  12. [12] L. Kristensen, I. Madsen, On evaluation of higher order cohomology operations, Math. Scand.20, 114-130 (1967) Zbl0166.18902MR222886
  13. [13] L. Kristensen, I. Madsen, On the structure of the operation algebra for certain cohomology theories, Conf. on Algebraic Topology, University of Illinois at Chicgo Circle, Proceedings (1968), 134-160 Zbl0212.28102MR250301
  14. [14] A. Kock, L. Kristensen, I. Madsen, Cochain functors for general cohomology theories I, II, Math. Scand.20, 131-176 (1967) Zbl0166.18903MR214056
  15. [15] J.P. May, Simplicial objects in algebraic topology, Chicago Lectures in Mathematics, Univ. of Chicago Press (1992), Chicago Zbl0769.55001MR1206474
  16. [16] L. Smith, Secondary cohomology theories, Indiana Univ. Math. J.23, 899-923 (1974) Zbl0285.55005MR339135
  17. [17] E. Spanier, Secondary operations on mappings and cohomology, Ann. of Math.75, 260-282 (1962) Zbl0105.17003MR133823
  18. [18] N.E. Steenrod, D.B.A. Epstein, Cohomology operations, Annals of Math. Studies50, Princeton Univ. Press (1962), Princeton Zbl0102.38104MR145525

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