Let's take a simple example.(adsbygoogle = window.adsbygoogle || []).push({});

Both a cylinder and Möbius strip consist of a circle with a line segment associated with each point of the circle. The cylinder is considered truly equivalent to the direct product S1 X line segment while the Möbius strip is only locally like S1 X line segment. Ok, what does that mean? Does the direct product have any properties whicharen'tlocal?

I mean, I thought S1 X line segment L is merely [tex]\{(p,x)|p \in S^1, x \in L\}[/tex], period. Both the cylinder and Möbius strip would be instances of this general thing, differing from each other only in additional properties, e.g. the transition functions.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How does a fibre bundle differ from base space X typical fibre?

**Physics Forums | Science Articles, Homework Help, Discussion**