Mathematical Proceedings of the Cambridge Philosophical Society: Volume 57 - Issue 1

Rational Euler Characteristics
C. T. C. Wall
Published online by Cambridge University Press:

24 October 2008, pp. 182-184
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Let ℒ be the class of discrete groups G which admit a finite complex X as classifying space. On ℒ we may define the Euler characteristic χ(G) = χ(X); that this is independent of X follows from the homological interpretation of characteristics.

Proof of Poisson's Formula
Bengt Åkerberg
Published online by Cambridge University Press:

24 October 2008, p. 186
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Let f(z)=u(x, y)+iv(x, y) be regular in a domain containing the unit circle C. If where r < 1, then is regular in |z| ≤ 1 and we have and taking real parts and imaginary parts we obtain Poisson's formulae for the harmonic functions u and v.

Mathematical Proceedings of the Cambridge Philosophical Society