Brief communications

Euler Characteristic of Spaces of Real Meromorphic Functions

S. V. Shadrin

Independent University of Moscow

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

Keywords: real meromorphic function, compactification, Euler characteristic.

UDC: 515.172.4

Received: 13.07.2000
Revised: 24.10.2001

DOI: 10.4213/faa198

 English version: Functional Analysis and Its Applications, 2002, 36:2, 162–163

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