Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 1998; 35(4): 625-627

Printed December 1, 1998

Copyright © The Korean Mathematical Society.

On a fiber space with connected fibers

Dong-Kwan Shin

Konkuk University

Abstract

Let $f:S\to C$ be a fiber space with connected fibers. We may have an information about a surface $S$ from the fiber space structure. The result we have is $\chi(\Cal O_C)\, \chi(\Cal O_F)\leq \chi(\Cal O_S)$.

Keywords: Euler characteristic, fiber space, genus

MSC numbers: 14E05, 14J30