Relative epimorphisms and monomorphisms in homotopy theory

Peter Hilton; Joseph Roitberg

Compositio Mathematica (1987)

  • Volume: 61, Issue: 3, page 353-367
  • ISSN: 0010-437X

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Hilton, Peter, and Roitberg, Joseph. "Relative epimorphisms and monomorphisms in homotopy theory." Compositio Mathematica 61.3 (1987): 353-367. <http://eudml.org/doc/89829>.

@article{Hilton1987,
author = {Hilton, Peter, Roitberg, Joseph},
journal = {Compositio Mathematica},
keywords = {epimorphisms and monomorphisms in the homotopy category; localization},
language = {eng},
number = {3},
pages = {353-367},
publisher = {Martinus Nijhoff Publishers},
title = {Relative epimorphisms and monomorphisms in homotopy theory},
url = {http://eudml.org/doc/89829},
volume = {61},
year = {1987},
}

TY - JOUR
AU - Hilton, Peter
AU - Roitberg, Joseph
TI - Relative epimorphisms and monomorphisms in homotopy theory
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 3
SP - 353
EP - 367
LA - eng
KW - epimorphisms and monomorphisms in the homotopy category; localization
UR - http://eudml.org/doc/89829
ER -

References

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  1. Felix, Y. and Lemaire, J.-M.: On the mapping theorem for Lusternik-Schnirelmann category. Toplogy24 (1985) 41-43. Zbl0572.55002MR790674
  2. Ganea, T.: On monomorphisms in homotopy theory. Topology6 (1967) 149-152. Zbl0147.42201MR208593
  3. Henn, H.- W.: On almost rational co-H-spaces. Proc. Amer. Math. Soc.87 (1983) 164-168. Zbl0513.55008MR677254
  4. Hilton, P.: Homotopy Theory and Duality, Notes on Mathematics and its Applications. Gordon and Breach (1965). MR198466
  5. Hilton, P., Mislin, G. and Roitberg, J.: Localization of Nilpotent Groups and Spaces, Notas de Matemática. North-Holland Mathematics Studies15 (1975). Zbl0323.55016MR478146
  6. Hilton, P. and Roitberg, J.: Generalized C-Theory and torsion phenomena in nilpotent spaces. Houston J. Math.2 (1976) 525-559. Zbl0342.55009MR440537
  7. Hilton, P. and Roitberg, J.: Note on epimorphisms and monomorphisms in homotopy theory. Proc. Amer. Math. Soc.90 (1984) 316-320. Zbl0565.55009MR727257
  8. Roitberg, J.: Monomorphisms and epimorphisms in homotopy theory. Israel J. Math.46 (1983) 205-211. Zbl0565.55010MR733350
  9. Roitberg, J.: On weak epimorphisms in homotopy theory. Pacific J. Math.121 (1986) 183-187. Zbl0617.55006MR815042
  10. Varadarajan, K.: Groups for which Moore spaces M(π, 1) exist. Annals of Math.84 (1966) 368-371. Zbl0149.20103

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