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=30772
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