Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bulman-Fleming S., and H. Werner, Equational compactness in quasi-primal varieties, preprint 1975, 22 pp.
Chen, S., and R. W. Yoh, The category of generalized Lie groups, Trans. Amer. Math. Soc. 199 (1974), 281–294.
Choe, T. H., Zero-dimensional compact association distributive universal algebras, Proc. Amer. Math. Soc. 42 (1974), 607–613.
Choe, T. H., Injective and projective zero-dimensional compact universal algebras, Alg. Univ. 1976.
Cooper, J. B., Remarks on applications of category theory to functional analysis, preprint 1974, 17 pp.
Cooper, J. B., and P. Michor, Duality of compactological and locally compact groups, preprint 1975, 19 pp.
Dauns, J., Categorical W*-tensor product, Trans. Amer. Math. Soc. 166 (1972), 439–440.
Davey, B. A., Duality theory for quasi-varieties of universal algebras, Dissertation, U. Manitoba 1974.
Dieudonné, J., Orientation générale des mathématiques pures en 1973, Gazette des Mathématiciens, Soc. Math. France, Octobre 1974, 73–79.
Eilenberg, S., Sur les groupes compacts d'homéomorphies, Fund. Math. 28 (1937), 75–80.
Eilenberg, S., and S. MacLane, General theory of natural equivalences, Trans. Amer. Math. Soc. 58 (1945), 231–294.
Enock, M. and F. M. Schwartz, Une dualité dans les algèbres de von Neumann, C. R. Acad. Sc. Paris 277 (1973), 683–685.
Greene, W. A., W* preserves projective limits, Preprint.
Hofmann, K. H., Categories with convergence, exponential functors, and the cohomology of compact abelian groups, Math. Z. 104 (1968) 106–140.
Hofmann, K. H., The duality of compact semigroups and C*-bigebras, Lecture Notes in Math. 129, Springer-Verlag, New York, 1970.
Hofmann, K. H. and K. Keimel, A general character theory for partially ordered sets and lattices, Memoir Amer. Math. Soc. 122, 1972, 121 pp.
Hofmann, K. H. and F. LaMartin, Monoidal categories and monoidal functors, Seminar Notes Tulane University 1971, 103 pp. (limited circulation).
Hofmann, K. H., M. Mislove, and A. Stralka, The Pontryagin Duality of Compact o-Dimensional Semilattices and its Applications, Lecture Notes in Mathematics 396, 1974.
Hofmann, K. H., and P. S. Mostert, Cohomology Theories for Compact Abelian Groups, Dt. Verl. d. Wiss., Berlin and Springer-Verlag, Heidelberg, 1974.
Hofmann, K. H., and A. Stralka, Mapping cylinders and compact monoids, Math. Ann. 205 (1973), 219–239.
Iwasawa, K. On some types of topological groups, Am. Math. 50 (1949), 507–558.
Lashof, R. K., Lie algebras of locally compact groups, Pac. J. Math. 7 (1957), 1145–1162.
MacLane, S., Categories for the working mathematician, Springer-Verlag, New York, 1971.
Mitchell, B., Theory of Categories, Academic Press, New York, 1965.
Numakura, K., Theorems on compact totally disconnected, semigroups and lattices, Proc. Amer. Math. Soc. 8 (1957), 623–626.
Pommer, H., Projektive Limites kompakter Räume, Topology 10 (1971), 5–8.
Roeder, D. W., Functorial characterizations of Pontryagin duality, Trans. Amer. Math. Soc. 154 (1971), 151–175.
Roeder, D. W., Category theory applied to Pontryagin duality, Pac. J. Math. 52 (1974), 519–527.
Takesaki, M., Duality and von Neumann algebras, in Lectures on Operator Algebras, Lect. Notes Math. 247, Springer-Verlag, New York 1972, 665–786.
Vainerman, L. I. and G. I. Kac, Nonunimodular ring groups, and Hopf-von Neumann algebras, Dold. Akad. Nauk SSSR 211 (1973), 1031–1034; Soviet Math. Doklady 14 (1973), 1144–1148.
Wallace, D., Permutation groupoids, Dissertation Tulane University, 1976.
Editor information
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Hofmann, K.H. (1976). Category theoretical methods in topological algebra. In: Binz, E., Herrlich, H. (eds) Categorical Topology. Lecture Notes in Mathematics, vol 540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080866
Download citation
DOI: https://doi.org/10.1007/BFb0080866
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07859-3
Online ISBN: 978-3-540-38118-1
eBook Packages: Springer Book Archive