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Path space (algebraic topology)
ID: path-space-algebraic-topology
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Path space (algebraic topology)
by
Wikipedia Bot
0
1970-01-01
In
algebraic topology
, the path
space
of
a
topological space
\(
X
\) is
a
space
that represents all possible continuous paths in \(
X \)
. More formally, the path
space
\(
P
(
X
) \) is defined
as
the
space
of continuous
maps
from the
unit interval
\( [
0
,
1
] \) into \(
X \)
.
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