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A De Rham Theorem for Generalised Manifolds

Published online by Cambridge University Press:  20 January 2009

Maria Elena Verona
Maria Elena Verona
Affiliation:
Centrul de Statisticǎ Matematicǎ, Str. Stirbei Vodǎ 174, Bucharest
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In (2) Bruhat has developed a theory of differentiable functions and distributions on a locally compact group in order to apply it to the study of the irreducible representations of the p-adic groups. Later, Whyburn (8) defined differentiable forms on a locally compact group and proved an analog of the de Rham theorem concerningthe relationship between the Čech cohomology and the De Rham cohomology. In (4) Ihave introduced the notions of “generalised manifold” (roughly speaking a projective limit of smooth manifolds) and of “differentiable forms” on it, extending some of the results due to Bruhat and Whyburn.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 2 , June 1979 , pp. 127 - 135
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

REFERENCES

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