Closure operators, monomorphisms and epimorphisms in categories of groups

Gabriele Castellini

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1986)

  • Volume: 27, Issue: 2, page 151-167
  • ISSN: 1245-530X

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Castellini, Gabriele. "Closure operators, monomorphisms and epimorphisms in categories of groups." Cahiers de Topologie et Géométrie Différentielle Catégoriques 27.2 (1986): 151-167. <http://eudml.org/doc/91380>.

@article{Castellini1986,
author = {Castellini, Gabriele},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {closure operator; full subcategories; characterization of epimorphisms; images},
language = {eng},
number = {2},
pages = {151-167},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Closure operators, monomorphisms and epimorphisms in categories of groups},
url = {http://eudml.org/doc/91380},
volume = {27},
year = {1986},
}

TY - JOUR
AU - Castellini, Gabriele
TI - Closure operators, monomorphisms and epimorphisms in categories of groups
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1986
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 27
IS - 2
SP - 151
EP - 167
LA - eng
KW - closure operator; full subcategories; characterization of epimorphisms; images
UR - http://eudml.org/doc/91380
ER -

References

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  3. 3 G. Castellini, Epireflections versus Bireflections for topological functors, Quaest. math.8 (1) (1985), 47-61. Zbl0588.18004MR821432
  4. 4 D. Dikranjan & E. Giuli, Closure operators induced by topological epireflections, Coll. Math. Soc. Janos Bolyai, Topology, Eger1983. Zbl0601.54016
  5. 5 D. Dikranjan & E. Giuli, Epimorphisms and co-wellpoweredness of epireflective subcategories of TOP, Rend. Cir. Mat. Palermo, Suppl. 6 (1984), 121-136. Zbl0588.54017MR782710
  6. 6 L. Fuchs, Infinite abelian groups, Vol. 1, Academic press, New York1970. Zbl0209.05503MR255673
  7. 7 E. Giuli, Bases of topological epi-reflections, Top. & Appl.11 (1980), 263. Zbl0441.18012MR585271
  8. 8 E. Giuli & M. Husek, A diagonal theorem for epireflective subcategories of Top and co-wellpoweredness, Annali di Mat. (to appear). Zbl0617.54006
  9. 9 H. Herrlich, G. Salicrup& R. Vasquez, Dispersed factorization structures, Can. J. Math.31 (1979), 1059-1071. Zbl0435.18003MR546958
  10. 10 H. Herrlich & G. Strecker, Category Theory, Heldermann-Verlag, Berlin1979. Zbl0437.18001MR571016
  11. 11 J.M. Howie & J.R. Isbell, Epimorphisms and dominions II, J. of Algebra6 (1967), 7-21. Zbl0211.33303MR209203
  12. 12 J.R. Isbell, Epimorphisms and dominions, Proc. Conf. on categorical Algebra (La Jolla1965), Springer1966, 232-246. Zbl0194.01601MR209202
  13. 13. R. Isbell, Epimorphisms and dominions IV, J. London Math. Soc. (2), 1 (1969), 265-273. Zbl0179.05901MR257120
  14. 14 S. Salbany, Reflective subcategories and closure operators, Lecture Notes in Math. 540 (1976), 565-584. Zbl0335.54003MR451186
  15. 15 L.D. Nel & R.G. Wilson, Epireflections in the category of To-spaces, Fund. Math.75 (1972), 69-74. Zbl0232.54018MR307164

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