Section 54: Problem 3 Solution
Working problems is a crucial part of learning mathematics. No one can learn topology merely by poring over the definitions, theorems, and examples that are worked out in the text. One must work part of it out for oneself. To provide that opportunity is the purpose of the exercises.
James R. Munkres
Let
be a covering map. Let
and
be paths in
with
; let
and
be liftings of them such that
. Show that
is a lifting of
.
If
then
, similarly for
.