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Space of germs of holomorphic functions
...
Mathematics
Area of mathematics
Analysis
Complex analysis
Riemann surfaces
Germ of a holomorphic function
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Words: 100
Articles: 2
The space
G
of germs over a domain
D
has basic open sheets
{[
f
]
z
:
z
∈
U
}
(88)
for holomorphic
f
on open
U
⊆
D
. The projection
π
([
f
]
z
)
=
z
restricts to a homeomorphism on each sheet, and these projections form holomorphic coordinate charts.
Table of contents
100
2
Evaluation map on a space of germs
Space of germs of holomorphic functions
24
Germ surface of the square root of z to the eighth minus one
Space of germs of holomorphic functions
35
Ancestors
(7)
Germ of a holomorphic function
Riemann surfaces
Complex analysis
Analysis
Area of mathematics
Mathematics
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