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Concept
Covering Map
A
covering map
is a
continuous surjective function
between
topological spaces
that locally resembles a projection from a
product space
, ensuring that each point in the target has a
neighborhood evenly covered
by the map. It is fundamental in the study of
topological spaces
, particularly in understanding their
fundamental groups
and in constructing
universal covers
.
Relevant Fields:
Geometry 100%
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