A closed category of reflexive topological abelian groups

Michael Barr

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1977)

  • Volume: 18, Issue: 3, page 221-248
  • ISSN: 1245-530X

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Barr, Michael. "A closed category of reflexive topological abelian groups." Cahiers de Topologie et Géométrie Différentielle Catégoriques 18.3 (1977): 221-248. <http://eudml.org/doc/91185>.

@article{Barr1977,
author = {Barr, Michael},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {3},
pages = {221-248},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A closed category of reflexive topological abelian groups},
url = {http://eudml.org/doc/91185},
volume = {18},
year = {1977},
}

TY - JOUR
AU - Barr, Michael
TI - A closed category of reflexive topological abelian groups
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1977
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 18
IS - 3
SP - 221
EP - 248
LA - eng
UR - http://eudml.org/doc/91185
ER -

References

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  1. B1 M. Barr, Duality of vector spaces, Cahiers Topo. et Géo. Diff., XVII- 1 (1976), 3-14. Zbl0333.46048MR425568
  2. B2 M. Barr, Duality of Banach spaces, Idem, 15-32. Zbl0333.46049MR423053
  3. B3 M. Barr, Closed categories and topological vector spaces, Idem3, 223-234. Zbl0336.46060MR430018
  4. B4 M. Barr, Closed categories and Banach spaces, I demXVII- 4, 335 - 342. Zbl0344.46132MR448118
  5. BHM R. Brown, P.J. Higgins, S.A. Morris, Countable products of lines and circles: their closed subgroups, quotients and duality properties, Math. Proc. Camb. Phil. Soc.78 (1975), 19 - 32. Zbl0304.22001MR453915
  6. EK S. Eilenberg, G.M. Kelly, Closed categories, Proc. Conf. Categorical Alg. (La jolla, 1965), Springer (1966), 421-562. Zbl0192.10604MR225841
  7. G D.J.H. Garling, Tensor products of topological abelian groups, J. f. reine und angew. Math.223 (1966), 164-182. Zbl0145.03401MR199305
  8. HR E. Hewi Tt, K.A. Ross, Abstract harmonic Analysis, Vol. I, Springer, 1963. Zbl0115.10603MR551496
  9. H K.H. Hofmann, Tensorprodukte lokal kompakter abelscher Gruppen, J. f. reine und ange. Math.216 (1964), 134-149. Zbl0128.03001MR167562
  10. HMP D.H. Hunt, S.A. Morris, A.J. van der POORTEN, Closed subgroups of products of reals, Bull. London Math. Soc.7 (1975), 124-128. Zbl0305.22003MR372112
  11. K1 S. Kaplan, Extensions of the Pontrj agin duality, I: infinite products, Duke Math. J.15 (1948), 649-658. Zbl0034.30601MR26999
  12. K2 S. Kaplan, Extensions of the Pontrjagin duality, II: direct and inverse sequences, Duke Math. J.17 (1950), 219 - 435. Zbl0041.36101MR49906
  13. Mi E.A. Mi Chael, On a problem of S. Kaplan, Bull. A. M. S.59 (1953), 248. 
  14. Mo S.A. Morris, Connected and locally connected subgroups of products of locally compact abelian groups, Mimeographed. 
  15. S H.H. Schaeffer, Topological vector spaces (3rd print. cor. ), Springer, 1970. 

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