Last Updated：2025/11/22
(American spelling, topology, category theory) A topological space E with a base space B and a fiber space F such that any point x ∈ B has a neighborhood N that is homeomorphic to the product space B × F (that is, the space is locally the product space B × F, although its global structure can be quite different).
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fiber bundle
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Source Word
fiber bundle
Noun
US
(American
spelling,
topology,
category
theory)
A
topological
space
E
with
a
base
space
B
and
a
fiber
space
F
such
that
any
point
x
∈
B
has
a
neighborhood
N
that
is
homeomorphic
to
the
product
space
B
×
F
(that
is,
the
space
is
locally
the
product
space
B
×
F,
although
its
global
structure
can
be
quite
different).
Japanese Meaning
局所的に積空間となる位相空間の構造をもつ対象。具体的には、全体空間E、基底空間B、および繊維Fという3つの位相空間があり、任意の点x ∈ Bの近傍がBとFの直積空間と同相になるが、全体としてはその直積構造を持たない可能性がある。
Sense（1）
(American
spelling,
topology,
category
theory)
A
topological
space
E
with
a
base
space
B
and
a
fiber
space
F
such
that
any
point
x
∈
B
has
a
neighborhood
N
that
is
homeomorphic
to
the
product
space
B
×
F
(that
is,
the
space
is
locally
the
product
space
B
×
F,
although
its
global
structure
can
be
quite
different).
（ plural ）
