On free topological algebras

Hans-E. Porst

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1987)

  • Volume: 28, Issue: 3, page 235-253
  • ISSN: 1245-530X

How to cite

top

Porst, Hans-E.. "On free topological algebras." Cahiers de Topologie et Géométrie Différentielle Catégoriques 28.3 (1987): 235-253. <http://eudml.org/doc/91406>.

@article{Porst1987,
author = {Porst, Hans-E.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {3},
pages = {235-253},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On free topological algebras},
url = {http://eudml.org/doc/91406},
volume = {28},
year = {1987},
}

TY - JOUR
AU - Porst, Hans-E.
TI - On free topological algebras
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1987
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 28
IS - 3
SP - 235
EP - 253
LA - eng
UR - http://eudml.org/doc/91406
ER -

References

top
  1. 1, G.C.L. Brummer, Topological categories, Topology and Appl, 18 (1984), 27-41, Zbl0551.18003MR759137
  2. 2 M.S. Burgin, Free topological groups and universal algebras, Dok I, Akad. Nauk SSSR204 (1972), 9-11 [Soviet. Math. Dok1, 13 (1972), 561-564], Zbl0274.22002MR302541
  3. 3, T.H. Fay, An axiomatic c approach to categories of topological 1 algebras, Guaest. Math,2 (1977), 113-137, Zbl0365.18006MR480677
  4. 4, H., Herrlich, A characterization of K-ary algebraic categories, Manuscripta Math, 4 (1971), 277-284, Zbl0277.18007MR296128
  5. 5, H. Herrlich, Regular categories and regular functors, Can. J. Math.26 (1974), 709-720, Zbl0255.18002MR432732
  6. 6, H. Herrlich, Topological functors, Gen. Topology and Appl.4 (1974), 125-142, Zbl0288.54003MR343226
  7. 7, H. Herrlich, Categorical Topology 1971-1981, in: J,NOVAK, ed,, Proc, Fifth Prague Topol, Symp, 1981, Heldermann, Berlin (1983), 279-383, Zbl0502.54001MR698425
  8. 8, H. Herrlich & G.E. Strecker, Category theory, 2nd Edition, Heldermann, Berlin1979. Zbl0437.18001MR571016
  9. 9, S. Kakutani, Free topological groups and finite discrete product topological groups, Proc. Imp. Acad, Tokyo20 (1944), 595-598, Zbl0063.03105MR14093
  10. 10, J.L. Kelley, General Topology, van Nostrand, New York1955, Zbl0066.16604MR70144
  11. 11, A.I. Mal-Cev, Free topological algebras, Izv. Akad. Nauk SSSR, Ser, Mat, 21 (1957), 171-198 [ A.M.S. Tranal, Ser, 2, 17 (1961), 173-200], Zbl0128.24702MR98797
  12. 12, E.G. Manes, Algebraic theories, GTM 26, Springer1976, Zbl0353.18007MR419557
  13. 13 A.A. Markov, On free topological groups, IZV. Akad. Nauk SSSR, Ser, Mat, 9 (1945), 3-64 [A. M. S.Transl, 30 (1950); Reprint; A.M.S.Transl, Ser, 1, 8 (1962), 195-272], MR37854
  14. 14, H.-E. Porst, On underlying functors in general and topological 1 algebra. Manuscripta Math, 20 (1977), 209-225, Zbl0356.18007MR442055
  15. 15, H.E. Porst, T-regular functors, in; H,L, BENTLEY et al,, ed,, Proc, Int, Conf, Toledo, Ohio1983, Hildermann (1984), 425-440, Zbl0563.18005MR785027
  16. 16, H.E. Porst, A categorical approach to topological and ordered algebra, Rend. Circ. Mat, Palermo (Suppl,), Ser. II, 12 (1986) 115-131, Zbl0594.18002MR853153
  17. 17, P. Samuel, On universal 1 mappings and free topological 1 groups, Bull. A.M.S.54 (1948), 591-598, Zbl0031.41702MR25152
  18. 18, B.V. Smith Thomas, Free topological groups, Gen. Topology and Appl.,1974), 51-72. Zbl0276.54044MR342639
  19. 19, S. Swierczkowski, Topologies in free algebras, Proc. London Math. Soc. (3) 14 (1964), 466-576, Zbl0123.09902MR161936
  20. 20 W., Taylor, Varieties obeying homotopy laws, Can. J. Math, 29 (1977), 498-527, Zbl0357.08004MR434928
  21. 21, W. Tholen, On Wyler's taut lift Theorem, Gen. Topology and Appl.8 (1978), 197-206, Zbl0374.18002MR480669
  22. 22, O. Wyler, On the categories of general topology and topological algebra, Arch. Math.XXII (1971), 7-17, Zbl0265.18008MR287563

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.