Aspects of categorical algebra in initialstructure categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1974)
- Volume: 15, Issue: 4, page 419-444
- ISSN: 1245-530X
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topWischnewsky, Manfred Bernd. "Aspects of categorical algebra in initialstructure categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 15.4 (1974): 419-444. <http://eudml.org/doc/91145>.
@article{Wischnewsky1974,
author = {Wischnewsky, Manfred Bernd},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {4},
pages = {419-444},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Aspects of categorical algebra in initialstructure categories},
url = {http://eudml.org/doc/91145},
volume = {15},
year = {1974},
}
TY - JOUR
AU - Wischnewsky, Manfred Bernd
TI - Aspects of categorical algebra in initialstructure categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1974
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 15
IS - 4
SP - 419
EP - 444
LA - eng
UR - http://eudml.org/doc/91145
ER -
References
top- [1] Antoine, P., Extension minimale de la catégorie des espaces topologiqu es, C. R.A. S.Paris262 (1966), 1389-1392. Zbl0139.40101MR202788
- [2] Baumgartner, K.H., Categories admitting free algebras, Mimeographed Notes, Universität Bochum (1972) .
- [3] Bourbaki, N., Théorie des ensembles, Chap. 4. Paris, Hermann (1970). Zbl0282.04001MR276101
- [4] Bourdaud, G., Foncteurs à structures initiales, Esquisses math.8, Paris (1970). Zbl0333.18003MR352212
- [5] Brümmer, G.C.L., A categorical study of initiality, Thesis, Kapstadt (1971).
- [6] Ertel, H.G., Schubert, H., Universelle topologische Algebra, Vorbericht, Universität Düsseldorf, April 1972.
- [7] Gray, J.W., Fibred and cofibred categories, Proc. Conf. La Jolla1965, Springer, Berlin-Heidelberg-New York (1966). Zbl0192.10701MR213413
- [8] Grothendieck, A., Revêtements étales et groupe fondamental, Lecture Notes in Mathematics224, Springer (1971). MR354651
- [9] Herrlich, H., Topologische Reflexionen und Coreflexionen, Lecture Notes in Mathematics78, Springer (1968). Zbl0182.25302MR256332
- [10] Herrlich, H., Strecker, G., Coreflective subcategories, Trans. Amer. Math. Soc.118 (1971),303-315. Zbl0224.18003MR280561
- [11] Hoffmann, E., Die kategorielle Aulassung der Initial- und Finaltopologie, Dissertation, Bochum (1972) .
- [12] Hušek, M., S-categories, Comm. Math. Univer. Carol.5 (1964). Zbl0136.19101MR174027
- [13] Kennison, J.F., Reflective functors in general topology and elsewhere, Trans. Amer. Math. Soc.118 (1965), p. 303-315. Zbl0134.40705MR174611
- [14] Leroux, P., Structure et sémantique abstraites, Lecture Notes in Mathematics195, Springer (1971). Zbl0248.18010MR279151
- [15] Roberts, J.E., A characterization of initial functors, J. Algebra8 (1968) 181-193. Zbl0172.30904MR224674
- [16] Sonner, J., Canonical categories, Proc. Conf. La Jolla, 1965, Springer (1966). Zbl0185.04002MR220794
- [17] Pareigis, B., Kategorien und Funktoren, Teubner, Stuttgart, 1969. Zbl0192.34001MR265427
- [18] Wischnewsky, M.B., Algebren und Coalgebren inInitial- und Gabrielkategotien, MimeographedDiplomarbeit, Universität München (1971).
- [19] Wischnewsky, M.B., Initialkategorien, Dissertation, Universität München (1972).
- [20] Wischnewsky, M.B., Partielle Algebren in Initialkategotien, Math. Z.127 (1972), 83-91. Zbl0226.18001MR308238
- [21] Wischnewsky, M.B., Sheaves with values in initialstructure categories, Preprint München (1972) .
- [22] Wyler, O., On the categories of general topology and topological algebra, Arch. d. Math.22/1 (1971), 7-17. Zbl0265.18008MR287563
- [23] Wyler, O., Top-categories and categorical topology, General topology and its applications1 (1971), 17-28. Zbl0215.51502MR282324
- [24] Bastiani, A., Ehresmann, C., Categories of sketched structures, Cahiers Topo. Géo. diff. XIII-2 (1972), 105-214. Zbl0263.18009MR323856
- [25] Benabou, J., Les distributeurs, Rapport n° 33, Université de Louvain (1973).
- [26] Burroni, A., Esquisse des catégories à limites et des quasi-topologies, Esquisses mathématiques4, Paris (1970). Zbl0395.18005
- [27] Ehrig, H., Axiomatic theory of systems and systematics, Preprint, Berlin (1972).
- [28] Freyd, P.J., Kelly, G.M., Categories of continuous functors I, J. Pure Appl. Algebra2 (1972), 169-191. Zbl0257.18005MR322004
- [29] Harting, R., Distributoren und Kan-Erweiterungen, ETH Zürich (1973). MR470014
- [30] Gabriel, P., Ulmer, F., Lokal prasentierbare Kategorien, Lecture Notes in Mathematics221, Springer (1971). Zbl0225.18004MR327863
- [31] Gabriel, P., Zisman, M., Calculus of fractions and homotopy theory, Springer, Berlin-Heidelberg-New York, 1967. Zbl0186.56802MR210125
- [32] Gray, J.W., Sheaves with values in a category, Topology3 (1965), 1-18. Zbl0132.17605MR159328
- [33] Kelly, G.M., Street, R., Abstracts of the Sydney category Seminar 1972, The University of New South Wales, Australia, 1972.
- [34] Mac Lane, S., Categories for the working mathematician, Springer, Berlin-Heidelberg -New york, 1972. Zbl0232.18001
- [35] Pfender, M., Universelle Algebra in monoidalen Kategorien, Preprint, T. U. Berlin (1973).
- [36] Thiebaud, M., Sell-dual structure-semantics and algebraic categories, Thesis, Halifax, 1971.
- [37] Wischnewsky, M.B., Generalized universal algebra in initialstructure categories, Seminar Kasch-P areigis, Verlag Uni-Druck, München (1973). Zbl0316.18008
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