Is Every Open Set Within an Evenly Covered Open Set Also Evenly Covered?

[ehrenfest]

Homework Statement

Please confirm the following statement.

If p:E --> B is a covering map, and U is an evenly covered open set in B, then any open set contained in U is also evenly covered.

Homework Equations

The Attempt at a Solution

 

[HallsofIvy]

That seems a rather specialized topic. It might help if you were to tell us what course this is for, what a "covering map" is and what "evenly covered" means.

 

[ehrenfest]

http://en.wikipedia.org/wiki/Covering_map