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On cardinal numbers associated with locally compact Abelian groups

Published online by Cambridge University Press:  24 October 2008

J. B. Reade
J. B. Reade
Affiliation:
Trinity College, Cambridge
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Extract

We are concerned in this work with the following question:

Suppose that i is a continuous algebraic isomorphism from the topological group H onto a subgroup of the topological group G and suppose that the image i(H) is not closed in G; then what can we say about the cardinal number

We observe two easy results.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 1 , January 1965 , pp. 75 - 79
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

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