The structure of initial completions

J. Adámek; H. Herrlich; G. E. Strecker

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1979)

  • Volume: 20, Issue: 4, page 333-352
  • ISSN: 1245-530X

How to cite

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Adámek, J., Herrlich, H., and Strecker, G. E.. "The structure of initial completions." Cahiers de Topologie et Géométrie Différentielle Catégoriques 20.4 (1979): 333-352. <http://eudml.org/doc/91220>.

@article{Adámek1979,
author = {Adámek, J., Herrlich, H., Strecker, G. E.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {initial completions; functor-structured categories; fibre-small initially complete category; MacNeille completion; reflective embeddings for transportable concrete categories; (E,M)-categories},
language = {eng},
number = {4},
pages = {333-352},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The structure of initial completions},
url = {http://eudml.org/doc/91220},
volume = {20},
year = {1979},
}

TY - JOUR
AU - Adámek, J.
AU - Herrlich, H.
AU - Strecker, G. E.
TI - The structure of initial completions
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1979
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 20
IS - 4
SP - 333
EP - 352
LA - eng
KW - initial completions; functor-structured categories; fibre-small initially complete category; MacNeille completion; reflective embeddings for transportable concrete categories; (E,M)-categories
UR - http://eudml.org/doc/91220
ER -

References

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  1. AHS Adamek, J., Herrlich, H., & Strecker, G.E., Least and largest initial completions, Comment. Math. Univ. Carolinae20 (1979), 43-77. Zbl0404.18005MR526147
  2. BT Borger, R. & Tholen, W., Remarks on topologically-algebraic functors, Preprint. Zbl0422.18002MR548487
  3. He1 H Errlich, H., Initial completions, Math. Z.150 (1976), 101-110. Zbl0319.18001MR437614
  4. He2 Herrlich, H., Topological functors, General Topo. and Appl.4 (1974), 125 - 142. Zbl0288.54003MR343226
  5. He3 Herrlich, H., Epireflective subcategories of Top need not be co-well powered, Comment. Math. Univ. Carolinœ16 (1975), 713-716. Zbl0312.54004
  6. He4 Herrlich, H., Reflective Mac Neille completions of fibre-small categories need not be fibre-small, Comment. Math. Univ. Carolinae19 (1978). Zbl0381.18003MR480667
  7. Ho1 Hoffmann, R.-E., Semi-identifying lifts and a generalization of the duality theorem for topological functors, Math. Nachr.74 (1976), 295-307. Zbl0345.18002MR428256
  8. Ho2 Hoffmann, R.-E., Note on semi-topological functors, Math. Z.160 (1978), 69-74. Zbl0386.18003MR472960
  9. HNST Herrlich, H., Nakagawa, R., Strecker, G.E., & Titcomb, T., Equivalence of semi-topological and topologically-algebraic functors, Canad. J. Math. ( to appear) . Zbl0435.18002MR559784
  10. HPT Hedrlin, Z., Pultr, A. & Trnkova, V., Concerning a categorical approach to topological and algebraic categories, Proc. Second Prague topol. Symp., AcademiaPraha (1966), 176-181. Zbl0184.25803MR230784
  11. HS1 Herrlich, H. & Strecker, G.E., Category Theory, Allyn and Bacon, Boston, 1973. Zbl0265.18001MR349791
  12. HS2 Herrlich, H. & Strecker, G.E., Semi-universal maps and universal initial completions, Pacific J. Math. (to appear). Zbl0379.18008
  13. HSV Herrlich, H., Salicrup, G. & Vazquez, R., Dispersed factorization structures, Canad. J. Math. ( to appear). Zbl0435.18003MR546958
  14. KP Kučera, L. & Pultr, A., On a mechanism of defining morphisms in concrete categories, Cahiers Topo. et Géo. Diff.XIII-4 (1972), 397-410. Zbl0275.18006MR393173
  15. MP1 Menu, J. & Pultr, A., Simply (co)reflective subcategories of the categories determined by Poset-valued functors, Comment. Math. Univ. Carolinœ16 (1975), 161-172. Zbl0332.18004
  16. MP2 Menu, J. & Pultr, A., On categories determined by Poset- and Set-valued functors, Comment. Math. Univ. Carolinœ15 (1974), 665-678. Zbl0331.18008
  17. P. Pultr, A., On selecting of morphisms among all mappings between underlying sets of concrete categories and realizations of these, Comment. Math. Univ. Carolinœ8 (1967), 53-83. Zbl0166.27502
  18. Th Tholen, W., Semi-topological functors, Preprint. 
  19. Tr Trnkova, V., Automata and categories, Math. Found. Comput. Sc., Proc. 1975, Lecture Notes Computer Sc.32, Springer (1975), 138-152. Zbl0341.94021MR393175
  20. W Wischnewsky, M.B., A lifting theorem for right adjoints, Cahiers Topo. et Géo. Diff.XX-3 (1979). Zbl0409.18003MR528344
  21. E1 Ehresmann, C., Structures quasi-quotients, Math. Ann.171 (1967), 293. Zbl0248.18007MR212066
  22. E2 Ehresmann, C., Prolongements universels d'un foncteur par adjonction de limites, Dissertationes Math.LXIV (1969), 1-72. Zbl0204.33602MR245639

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