Category theory applied to Pontryagin duality.
David W. Roeder
Source: Pacific J. Math. Volume 52, Number 2
(1974), 519-527.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102911979
Zentralblatt MATH identifier: 0287.22006
Zentralblatt MATH identifier: 0245.22005
Mathematical Reviews number (MathSciNet): MR0360918
References
[1] H. Cartan and R. Godement, Theorie de la dualite et analyse harmonique dans les groupes abelians localement compacts, Ann. Sci Ecole Norm. Sup., (3) 64 (1947), 79-99.
Mathematical Reviews (MathSciNet): MR9:326d
Zentralblatt MATH: 0033.18801
[2] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Volume I, AcademicPress, New York and Springer-Verlag, Berlin, 1963.
Mathematical Reviews (MathSciNet): MR28:158
Zentralblatt MATH: 0115.10603
[3] H. Heyer, DaulittLokalkompakterGruppen,Lecture Notes in Mathematics, Volume 150, Springer-Verlag, New York, 1970.
Mathematical Reviews (MathSciNet): MR43:411
Zentralblatt MATH: 0202.14003
[4] K. H. Hofmann, Categories with convergence, exponentialfunctors,and the cohornology of compact abelian groups, Math Z., 104 (1968), 106-140.
Mathematical Reviews (MathSciNet): MR37:4195
Zentralblatt MATH: 0153.34101
[5] E. R. van Kampen, Locally bicompact abelian groups and their character groups, Ann. of Math., (2) 36 (1935),448-463.
Mathematical Reviews (MathSciNet): MR1503234
Zentralblatt MATH: 0011.39401
[6] J. W. Negrepontis, Duality in analysis from the point of view of triples, J. Algebra, 19 (1971), 228-253.
Mathematical Reviews (MathSciNet): MR43:6291
Zentralblatt MATH: 0222.18008
[7] L. S. Pontryagin, Topological Groups, Second Edition, Gordon and Breach, New York, 1966.
Mathematical Reviews (MathSciNet): MR34:1439
[8] D, W. Roeder, Functorial characterizationsof Pontryaginduality, Trans. Amer* Math. Soc, 154 (1971), 151-175.
Mathematical Reviews (MathSciNet): MR43:4956
Zentralblatt MATH: 0216.34303
[9] W. Rudin, Fourier Analysis on Groups, Interscience, New York, 1962.
Mathematical Reviews (MathSciNet): MR27:2808
Zentralblatt MATH: 0107.09603
[10] A. Weil, L'integrationdans les groupes topologiques et ses applications, Hermann, Paris, 1941 and 1951.
Mathematical Reviews (MathSciNet): MR3:198b
Pacific Journal of Mathematics
