Notes on Kuratowski-Mrówka theorems in point-free context

A. Pultr; A. Tozzi

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1992)

  • Volume: 33, Issue: 1, page 3-14
  • ISSN: 1245-530X

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Pultr, A., and Tozzi, A.. "Notes on Kuratowski-Mrówka theorems in point-free context." Cahiers de Topologie et Géométrie Différentielle Catégoriques 33.1 (1992): 3-14. <http://eudml.org/doc/91490>.

@article{Pultr1992,
author = {Pultr, A., Tozzi, A.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {compact locales; closed mappings; closed homomorphisms; closed projections; compact frames},
language = {eng},
number = {1},
pages = {3-14},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Notes on Kuratowski-Mrówka theorems in point-free context},
url = {http://eudml.org/doc/91490},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Pultr, A.
AU - Tozzi, A.
TI - Notes on Kuratowski-Mrówka theorems in point-free context
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1992
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 33
IS - 1
SP - 3
EP - 14
LA - eng
KW - compact locales; closed mappings; closed homomorphisms; closed projections; compact frames
UR - http://eudml.org/doc/91490
ER -

References

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  1. 1 N. Bourbaki, "Topologie Générale, Ch I et II," Paris, 1940. 
  2. 2 C.H. Dowker and D. Papert, Sums in the categories of frames, Houston J. Math.3 (1977), 7-15. Zbl0341.54001
  3. 3 E. Giuli, Compact pairs and generalized perfect maps, preprint. 
  4. 4 J.R. Isbell, Atomless parts of spaces, Math. Scand.31 (1972), 5-32. Zbl0246.54028MR358725
  5. 5 P.T. Johnstone, "Stone spaces," Cambridge Univ. Press, Cambridge, 1982. Zbl0499.54001MR698074
  6. 6 I. Kriz and A. Pultr, Peculiar behaviour of connected locales, Cahiers de Top. et Géom. Diff. Cat.XXX-1 (1989), 25-43. Zbl0668.06007MR1000829
  7. 7 K. Kuratowski, Evaluation de la classe borelienne d'un ensemble de points a l'aide des symboles logiques, Fund. Math.17 (1931), 249-272. Zbl0003.10504
  8. 8 S. Mac Lane, "Categories. For the Working Mathematician," Springer. Grad. Texts in Math. Vol.5, New York, 1970. Zbl0906.18001MR354798
  9. 9 S. Mrówka, Compactness and product spaces, Coll. Math.7 (1959), 19-22. Zbl0093.36305MR117704
  10. 10 N. Noble, Products with closed projections, Trans. Amer. Math. Soc.140 (1969), 381-391. Zbl0192.59701MR250261
  11. 11 J R.Vaughan, Some properties related to [a,b]-compactness, Fund. Math.87 (1975), 251-260. Zbl0307.54018MR380732

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