On the category of topological topologies

Maria Cristina Pedicchio

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1984)

  • Volume: 25, Issue: 1, page 3-13
  • ISSN: 1245-530X

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Pedicchio, Maria Cristina. "On the category of topological topologies." Cahiers de Topologie et Géométrie Différentielle Catégoriques 25.1 (1984): 3-13. <http://eudml.org/doc/91340>.

@article{Pedicchio1984,
author = {Pedicchio, Maria Cristina},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {topological functor; category of topological spaces; monoidal closed structures; Isbell category; topological topology; small fibred; initially complete},
language = {eng},
number = {1},
pages = {3-13},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On the category of topological topologies},
url = {http://eudml.org/doc/91340},
volume = {25},
year = {1984},
}

TY - JOUR
AU - Pedicchio, Maria Cristina
TI - On the category of topological topologies
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1984
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 25
IS - 1
SP - 3
EP - 13
LA - eng
KW - topological functor; category of topological spaces; monoidal closed structures; Isbell category; topological topology; small fibred; initially complete
UR - http://eudml.org/doc/91340
ER -

References

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  1. 1 J. Adamek, H. Herrlich & G.E. Strecker, Least and largest initial completions, Gen. Top. Appl, 4 (1974), 125- 142. Zbl0288.54003
  2. 2 P. Booth& J. Tillotson, Monoidal closed, cartesian closed and convenient categories of topological spaces, Pacific J. Math.88 (1980), 35- 53. Zbl0402.54004MR595812
  3. 3 J. Činčura, Tensor product in the category of topological spaces, Comment. Math. Univ. Carol.20 (1979), 431-446. Zbl0416.18014MR550446
  4. 4 S. Eilenberg& G.M. Kelly.Closed categories, Proc. Conf. Cat. Algebra (La Jolla), Springer, 1966, 421-562. Zbl0192.10604MR225841
  5. 5 G. Greve, How many monoidal closed structures are there in Top? Arch. Math.34, Basel (1980), 538-539. Zbl0445.18009MR596862
  6. 6 H. Herrlich, Topological functors, Gen. Top. Appl.4 (1974), 125-142. Zbl0288.54003MR343226
  7. 7 H. Herrlich, Cartesian closed topological categories, Math. Colloq., Univ. Cape Town9 (1974), 1- 16. Zbl0318.18011MR460414
  8. 8 J.R. Isbell, Function spaces and adjoints, Math. Scand.36 (1975), 317-339. Zbl0309.54016MR405340
  9. 9 G.M. Kelly, Basic concepts of enriched category theory, London Math. Soc., Lecture Notes64, Cambridge Univ. Press, 1982. Zbl0478.18005MR651714
  10. 10 M.C. Pedicchio, Closed structures on the category of topological spaces determined by systems of filters, Bull. Austral. Math. Soc.28 (1983), 161-174. Zbl0515.18006MR729004
  11. 11 H.E. Porst, Characterizations of Mac Neille completions and topological functors, Bull. Austral. Math. Soc.18 (1978), 201- 210. Zbl0379.18004MR498774
  12. 12 M.C. Vipera, Endo funtori aggiunti di Top. Quad, del gruppo di ri cerca Alg. Geom. Topologia, Dip. Mat. Univ. P erugia, 1980. 
  13. 13 O. Wyler, On the categories of general topology and topological algebra, Arch. Math.22 (1971), 7- 17. Zbl0265.18008MR287563
  14. 14 O. Wyler, Top-categories and categorical topology, Gen. Topology Appl.1 (1971), 17- 28 Zbl0215.51502MR282324

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