Pontryagin duality for convergence groups of unimodular continuous functions

Heinz-Peter Butzmann

Czechoslovak Mathematical Journal (1983)

  • Volume: 33, Issue: 2, page 212-220
  • ISSN: 0011-4642

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Butzmann, Heinz-Peter. "Pontryagin duality for convergence groups of unimodular continuous functions." Czechoslovak Mathematical Journal 33.2 (1983): 212-220. <http://eudml.org/doc/13378>.

@article{Butzmann1983,
author = {Butzmann, Heinz-Peter},
journal = {Czechoslovak Mathematical Journal},
keywords = {convergence space; continuous convergence; uniform convergence; convergence group; Pc-reflexivity; phi-irreducibility; character group; extension property},
language = {eng},
number = {2},
pages = {212-220},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Pontryagin duality for convergence groups of unimodular continuous functions},
url = {http://eudml.org/doc/13378},
volume = {33},
year = {1983},
}

TY - JOUR
AU - Butzmann, Heinz-Peter
TI - Pontryagin duality for convergence groups of unimodular continuous functions
JO - Czechoslovak Mathematical Journal
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 2
SP - 212
EP - 220
LA - eng
KW - convergence space; continuous convergence; uniform convergence; convergence group; Pc-reflexivity; phi-irreducibility; character group; extension property
UR - http://eudml.org/doc/13378
ER -

References

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  1. E. Binz, Continuous convergence on C ( X ) , Lecture Notes in Mathematics 469 (1975), Springer Verlag Berlin. (1975) Zbl0306.54003MR0461418
  2. E. Binz, 10.1007/BFb0080853, Lecture Notes in Mathematics 540 (1975), 43 - 92. (1975) MR0440494DOI10.1007/BFb0080853
  3. E. Binz, On an extension of Pontryagins duality theory, in: General topology and its relations to modern analysis and algebra IV, part A: Invited papers, Prague 1976. Lecture Notes in Mathematics 609 (1977), 1 - 20. (1976) MR0476908
  4. H. P. Butzmann, Dualitäten in C c ( X ) , Doctoral dissertation Mannheim 1971. (1971) 
  5. H. P. Butzmann, 10.1007/BF01223977, Arch. Math. 28 (1977), 632-637. (1977) Zbl0356.46006MR0625307DOI10.1007/BF01223977
  6. L. Fuchs, Abelian groups, Pergamon Press Oxford, 1960. (1960) Zbl0100.02803MR0111783
  7. B. Müller, Locally precompact convergence vector spaces, in: Proceedings of the special session on convergence structures, Reno 1976, 155-172. (1976) MR0430723

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