Remarks on duality for Σ -groups. I. Products and coproducts

Denis Higgs

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1989)

  • Volume: 30, Issue: 1, page 45-59
  • ISSN: 1245-530X

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Higgs, Denis. "Remarks on duality for $\Sigma $-groups. I. Products and coproducts." Cahiers de Topologie et Géométrie Différentielle Catégoriques 30.1 (1989): 45-59. <http://eudml.org/doc/91431>.

@article{Higgs1989,
author = {Higgs, Denis},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Abelian groups; -structure; duality; products of reflexive -groups; axiomatic infinite sums},
language = {eng},
number = {1},
pages = {45-59},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Remarks on duality for $\Sigma $-groups. I. Products and coproducts},
url = {http://eudml.org/doc/91431},
volume = {30},
year = {1989},
}

TY - JOUR
AU - Higgs, Denis
TI - Remarks on duality for $\Sigma $-groups. I. Products and coproducts
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1989
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 30
IS - 1
SP - 45
EP - 59
LA - eng
KW - Abelian groups; -structure; duality; products of reflexive -groups; axiomatic infinite sums
UR - http://eudml.org/doc/91431
ER -

References

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  1. 1 N. Bourbaki, Elements of Mathematics. III, General Topology, Part I, Hermann, Paris, and Addison-Wesley, Reading, Mass.1966. Zbl0145.19302
  2. 2 D.M.S. Brunker, Topics in the algebra of axiomatic infinite sums, Ph.D. Thesis, University of Waterloo, 1980. 
  3. 3 D. Higgs, Axiomatic infinite sums - an algebraic approach to integration theory, Proc. Conf. on Integration, Topology and Geometry in linear spaces, Contemporary Math.2, A.M.S. (1980), 205-212. Zbl0554.28011MR621859
  4. 4 S. Kaplan, Extensions of the Pontrjagin duality I: infinite products, Duke Math. J.15 (1948), 649-658. Zbl0034.30601MR26999
  5. 5 S.A. Morris, Pontrjagin duality and the structure of locally compact abelian groups, London Math. Soc. Lecture Note Ser. 29. Cambridge Univ. Press, 1977. Zbl0446.22006MR442141
  6. 6 S. Wylie, Intercept-finite cell complexes, Symposium in honor of S. Lefschetz. Princeton Math. Ser. 12. Princeton Univ. Press (1957), 389-399. Zbl0078.15401MR111020

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