# Section

From Encyclopedia of Mathematics

*section surface, of a fibre space *

A continuous mapping such that . If is a Serre fibration, then

For a principal fibre bundle the existence of a section implies its triviality. A vector bundle always possesses the so-called zero section.

#### Comments

#### References

[a1] | E.H. Spanier, "Algebraic topology" , McGraw-Hill (1966) pp. 77 |

**How to Cite This Entry:**

Section.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Section&oldid=18525

This article was adapted from an original article by A.F. Kharshiladze (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article