# Pontryagin duality for convergence groups of unimodular continuous functions

Czechoslovak Mathematical Journal (1983)

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

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topButzmann, 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

top- E. Binz, Continuous convergence on $C\left(X\right)$, Lecture Notes in Mathematics 469 (1975), Springer Verlag Berlin. (1975) Zbl0306.54003MR0461418
- E. Binz, 10.1007/BFb0080853, Lecture Notes in Mathematics 540 (1975), 43 - 92. (1975) Zbl0338.54011MR0440494DOI10.1007/BFb0080853
- 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
- H. P. Butzmann, Dualitäten in ${C}_{c}\left(X\right)$, Doctoral dissertation Mannheim 1971. (1971)
- H. P. Butzmann, 10.1007/BF01223977, Arch. Math. 28 (1977), 632-637. (1977) Zbl0356.46006MR0625307DOI10.1007/BF01223977
- L. Fuchs, Abelian groups, Pergamon Press Oxford, 1960. (1960) Zbl0100.02803MR0111783
- 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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