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From Encyclopedia of Mathematics
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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.


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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=30772
This article was adapted from an original article by A.F. Kharshiladze (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article