A compactification and the Euler characteristic of the spaces of real meromorphic functions

Details A compactification and the Euler characteristic of the spaces of real meromorphic functions A compactification and the Euler characteristic of the spaces of real meromorphic functions

2002-02-07

arxiv.org/abs/math/0202060v1

Mathematics

Complex Variables

19 pages

Scientific paper

For any connected component $H_0$ of the space of real meromorphic functions
we build a compactification $N(H_0)$ of the space $H_0$. Then we express the
Euler characteristics of the spaces $H_0$ and $N(H_0)$ in terms of topological
invariants of functions from $H_0$.

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