On categorical shape theory

Armin Frei

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1976)

  • Volume: 17, Issue: 3, page 261-294
  • ISSN: 1245-530X

How to cite

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Frei, Armin. "On categorical shape theory." Cahiers de Topologie et Géométrie Différentielle Catégoriques 17.3 (1976): 261-294. <http://eudml.org/doc/91172>.

@article{Frei1976,
author = {Frei, Armin},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {3},
pages = {261-294},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On categorical shape theory},
url = {http://eudml.org/doc/91172},
volume = {17},
year = {1976},
}

TY - JOUR
AU - Frei, Armin
TI - On categorical shape theory
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1976
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 17
IS - 3
SP - 261
EP - 294
LA - eng
UR - http://eudml.org/doc/91172
ER -

References

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  1. 1 H. Appelgate and M. Tierney, Categories with models, Lecture Notes in Math.80, Springer (1969), 156-244. Zbl0188.28204MR242916
  2. 2 K. Borsuk, Concerning homotopy properties of compacta, Fundam. Math.62 (1965), 223- 264. Zbl0159.24603MR229237
  3. 3 A. Deleanu, A. Frei and P. Hilton, Generalized Adams completion, Cahiers Topo. et Géo. Diff.XV- 1 (1974), 1-22. Zbl0291.18003MR356038
  4. 4 A. Deleanu, A. Frei and P. Hilton, Idempotent triples and completion, Math. Zeitschr.143 (1975), 91- 104. Zbl0295.18001MR376810
  5. 5 A. Deleanu and P. Hilton, On Kan extensions of cohomology theories and Serre classes of groups, Fundam. Math.73 (1971), 143- 165. Zbl0226.55011MR295337
  6. 6 A. Deleanu and P. Hilton, On the categorical shape of a functor, Fundam. Math. (1975). Zbl0368.18002
  7. 7 R.H. Fox, On shape, Fundam. Math.74 (1972), 47-71. Zbl0232.55023MR296914
  8. 8 R.H. Fox, Shape theory and covering spaces (preprint). Zbl0288.55011MR368007
  9. 9 A. Frei, On completion and shape, Boletim Soc. Brasileira de Mate. (1975). Zbl0397.18002MR439907
  10. 10 P. Hilton, G. Mislin and J. Roitberg, Localization of nilpotent groups and spaces, Math. Studies15, North-Holland, 1975. Zbl0323.55016MR478146
  11. 11 J. Le Van, Shape theory, Dissertation, Univ. of Kentucky, 1973. 
  12. 12 F.E.J. Linton, An outline of functorial semantics, Lecture Notes in Math.80, Springer (1969), 7-59. Zbl0181.02802MR244340
  13. 13 S. Mac Lane, Categories for the working mathematician, Springer, 1971. Zbl0906.18001MR354798
  14. 14 S. Mardesič, Shapes for topological spaces, General Topology and its applications3 (1973), 265 - 282. Zbl0269.55008MR324638
  15. 15 S. Mardesič and J. Segal, Shapes of compacta and ANR-systems, Fundam. Math.72 (1971), 41- 59. Zbl0222.55017MR298634

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