On binary coproducts of frames

Xiangdong Chen

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 4, page 699-712
  • ISSN: 0010-2628

Abstract

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The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.

How to cite

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Chen, Xiangdong. "On binary coproducts of frames." Commentationes Mathematicae Universitatis Carolinae 33.4 (1992): 699-712. <http://eudml.org/doc/247405>.

@article{Chen1992,
abstract = {The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.},
author = {Chen, Xiangdong},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {frame; binary coproduct; pushout; compactness; separatedness; continuous frame; closed homomorphism; $D(\kappa )$-frame; binary coproducts; category of frames; local compactness; separatedness; pushouts; closed frame homomorphisms},
language = {eng},
number = {4},
pages = {699-712},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On binary coproducts of frames},
url = {http://eudml.org/doc/247405},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Chen, Xiangdong
TI - On binary coproducts of frames
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 4
SP - 699
EP - 712
AB - The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.
LA - eng
KW - frame; binary coproduct; pushout; compactness; separatedness; continuous frame; closed homomorphism; $D(\kappa )$-frame; binary coproducts; category of frames; local compactness; separatedness; pushouts; closed frame homomorphisms
UR - http://eudml.org/doc/247405
ER -

References

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  1. Banaschewski B., Bourbaki's fixpoint lemma reconsidered, Comment. Math. Univ. Carolinae 33 (1992), 303-309. (1992) Zbl0779.06004MR1189661
  2. Banaschewski B., On pushing out frames, Comment. Math. Univ. Carolinae 31 (1990), 13-21. (1990) Zbl0706.18003MR1056165
  3. Banaschewski B., Compactification of frames, Math. Nachr. 149 (1990), 105-116. (1990) Zbl0722.54018MR1124796
  4. Banaschewski B., Another look at the localic Tychonoff theorem, Comment. Math. Univ. Carolinae 26 (1985), 619-630. (1985) MR0982782
  5. Bourbaki N., Elements of Mathematics: General Topology, Reading, Mass.: Addison-Wesley, 1966. Zbl1107.54001
  6. Chen X., Closed Frame Homomorphisms, Doctoral Dissertation, McMaster University, 1991. Zbl0858.54012
  7. Dowker C.H., Papert D., Paracompact frames and closed maps, Symp. Math. 16 (1975), 93-116. (1975) Zbl0324.54015MR0410663
  8. Dowker C.H., Strauss D., Separation axioms for frames, Colloq. Math. Soc. János Bolyai 8 (1972), 223-240. (1972) MR0394559
  9. Isbell J.R., Atomless parts of spaces, Math. Scand. 31 (1972), 5-32. (1972) Zbl0246.54028MR0358725
  10. Johnstone P.T., Stone Space, Cambridge University Press, 1982. MR0698074
  11. Kříž I., Pultr A., Peculiar behaviour of connected locales, Cahiers de Top. et Géom. Diff. Cat. XXX-1 (1989), 25-43. MR1000829
  12. Pultr A., Tozzi A., Notes on Kuratowski-Mrówka theorems in point-free context, Cahiers de Top. et Géom. Diff. Cat. XXXIII-1 (1992), 3-14. (1992) Zbl0772.54016MR1163423
  13. Vermeulen J.J.C., Some constructive results related to compactness and the (strong) Hausdorff property for locales, Category Theory, Proceedings, Como 1990, Springer LNM 1488 (1991), 401-409. Zbl0739.18001MR1173026

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