bundle map

Let E1π1B1 and E2π2B2 be fiber bundlesMathworldPlanetmath for which there is a continuous mapMathworldPlanetmath f:B1B2 of base spaces. A bundle mapMathworldPlanetmath (or bundle morphism) is a commutative square


such that the induced map E1f-1E2 is a homeomorphism (here f-1E2 denotes the pullback of f along the bundle projection π2).

Title bundle map
Canonical name BundleMap
Date of creation 2013-03-22 13:07:24
Last modified on 2013-03-22 13:07:24
Owner RevBobo (4)
Last modified by RevBobo (4)
Numerical id 5
Author RevBobo (4)
Entry type Definition
Classification msc 55R10
Defines bundle morphism