Structure functors - Compositions of arbitrary right adjoints with topological functors I -

Manfred B. Wischnewsky

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1981)

  • Volume: 22, Issue: 3, page 267-282
  • ISSN: 1245-530X

How to cite

top

Wischnewsky, Manfred B.. "Structure functors - Compositions of arbitrary right adjoints with topological functors I -." Cahiers de Topologie et Géométrie Différentielle Catégoriques 22.3 (1981): 267-282. <http://eudml.org/doc/91272>.

@article{Wischnewsky1981,
author = {Wischnewsky, Manfred B.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {topological functors; semifinal structure functor; semifinal extension; semitopological functor; factorizations of cones; MacNeille completion},
language = {eng},
number = {3},
pages = {267-282},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Structure functors - Compositions of arbitrary right adjoints with topological functors I -},
url = {http://eudml.org/doc/91272},
volume = {22},
year = {1981},
}

TY - JOUR
AU - Wischnewsky, Manfred B.
TI - Structure functors - Compositions of arbitrary right adjoints with topological functors I -
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1981
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 22
IS - 3
SP - 267
EP - 282
LA - eng
KW - topological functors; semifinal structure functor; semifinal extension; semitopological functor; factorizations of cones; MacNeille completion
UR - http://eudml.org/doc/91272
ER -

References

top
  1. 1 Adamek, J., Colimits of algebras revisited, Bull. Austral. Math. Soc.17 (1977), 433- 450. Zbl0365.18007MR470020
  2. 2 Adamek, J., Herrlich, H. & Strecker, G., The structure of initial completions, Cahiers Topo. et Géom. Diff.XX-4 (1979), 333-352. Zbl0436.18001MR558103
  3. 3 Adamek, J., Herrlich, H. & Strecker, G., Least and largest initial completions, Comment. Math. Univ. Carolinae20 (1979), 43-77, Zbl0404.18005MR526147
  4. 4 Borger, R. & Tholen, W., Cantors Diagonalprinzip für Kategorien, Math. Z.160 (1978), 135 - 138. Zbl0363.04002MR498772
  5. 5 Börger, R. & Tholen, W., Remarks on topologically algebraic functors, Cahiers Topo. et Géom. Diff.XX- 2 (1979), 155-177. Zbl0422.18002MR548487
  6. 6 Ehresmann, C., Structures qua si-quotient s, Math. Ann.171 (1967), 293- 363. Zbl0248.18007MR212066
  7. 7 Ehresmann, A. & C., Categories of sketched structures, Cahiers Topo. et Géom. Diff.XIII-2 (1972), 105-214. Zbl0263.18009MR323856
  8. 8 Gabriel, P. & Ulmer, F., Lokal präsentierbare Kategorien, Lecture Notes in Math.221, Springer (1971). Zbl0225.18004MR327863
  9. 9 Greve, G., Lifting clo sed and monoidal structures along semitopological functors, Lecture Notes in Math, 719, Springer (1979), 74-84. Zbl0411.18008MR544633
  10. 10 H Errlich, H., Topological functors, Gen. Topo. and Appl.4(1974), 125-142. Zbl0288.54003
  11. 11 H Errlich, H., Initial completions, Math. Z.150 (1976), 101-110. Zbl0319.18001MR437614
  12. 12 H Errlich, H. & Strecker, G., Semi-universal maps and universal completions, Pacific J. Math. Zbl0379.18008
  13. 13 H Errlich, H., Nakagawa, R., Strecker, G. & Titcomb, T., Equivalence of semitopological and topologically-algebraic functors, Canad. J. Math.32 (1980), 34-39. Zbl0435.18002MR559784
  14. 14 Hoffm Ann, R.-E., Semi-identifying lifts and a generalization of the duality theorem for topological functors, Math. Nachr, 14 (1976), 295- 307. Zbl0345.18002MR428256
  15. 15 Hoffmann, R.-E., Topological functors admitting generalized Cauchy-completions. Lecture Notes in Math.540, Springer (1976), 286-344. Zbl0421.18002MR644648
  16. 16 Hong, Y.H., Studies on categories of universal topological algebras, Thesis, MacMaster University, Hamilton, 1974. 
  17. 17 Pumplün, D., Initial morphisms and monomorphisms, Seminarberichte Femuniv. Hagen7 (1980), 183-217. 
  18. 18 Street, R., Tholen, W., Wischnewsky, M.B. & Wolff, H., Semitopological functors III: Lifting of monads and adjoint functors, J. Pure and Appl. Algebra16 (1980), 299 - 314. Zbl0428.18003MR558494
  19. 19 Tholen, W., On Wyler's taut lift-theorem, Gen. Topo. and Appl.8 (1978), Zbl0374.18002MR480669
  20. 20 Tholen, W., Semi-topological functors I, J. Pure and Appl. Algebra15 (1979), 53-73. Zbl0413.18001
  21. 21 Tholen, W., Konkrete funktoren, Habilitationsschrift, Hagen, 1978. 
  22. 22 Tholen, W., Mac Neille completion of concrete categorie s with local properties, To appear, 1978. Zbl0435.18005
  23. 23 Tholen, W.& Wischnewsky, M.B., Semitopological functors II, External characterizations, J. Pure and Appl. Algebra15 (1979), 75 -92. Zbl0413.18002MR532964
  24. 24 Trnkova, V., Automata and categories, Lecture Notes in Computer Science32, Springer (1975), 138-152. Zbl0341.94021MR393175
  25. 25 Wischnewsky, M.B., A lifting theorem for right adjoints, Cahiers Topo. et Géom. Diff.XIX - 2 (1978), 155 - 168. Zbl0409.18003MR528344
  26. 26 Wischnewsky, M.B., A generalized duality theorem for structure functors, Cahiers Topo. et Géom. Diff, XXI- 2 (1980), 191-224. Zbl0445.18002MR574664
  27. 27 Wischnewsky, M.B., Structure functors; representation and existence theorems, Lecture Notes in Math.719, Springer (1979), 395 - 411. Zbl0422.18001MR544663
  28. 28 Wischnewsky, M.B., Structure functors, compositions of arbitrary right adjoints with topological functors II, Proc. Conf, on categorical Topology Ottawa (1980), to appear. Zbl0492.18002MR659904
  29. 29 Wyler, O., Quotient maps, Gen. Topo. and Appl.3 (1973), 149-160. Zbl0278.54009MR320105

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.