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Fundamental group
(
π
1
(
X
,
x
0
)
)
Home
Mathematics
Area of mathematics
Geometry and topology
Algebraic topology
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Words: 422
Articles: 11
The fundamental group
π
1
(
X
,
x
0
)
consists of based loops modulo based homotopy, with multiplication induced by concatenation.
Table of contents
422
11
Well-defined loop concatenation
Fundamental group
23
Functoriality of the fundamental group
Fundamental group
16
Seifert-van Kampen theorem
Fundamental group
336
7
Amalgamated free product
Seifert-van Kampen theorem
46
Generation of a fundamental group by two open sets
Seifert-van Kampen theorem
58
Fundamental group after attaching a Möbius band
Seifert-van Kampen theorem
96
1
Two Möbius bands attached to a torus
Fundamental group after attaching a Möbius band
62
Fundamental group after attaching a 2-cell
Seifert-van Kampen theorem
108
2
Presentation complex
Fundamental group after attaching a 2-cell
86
1
Presentation complex for the symmetric group on three letters
Presentation complex
55
Fundamental group of a closed orientable surface
Fundamental group
31
Ancestors
(5)
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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(2)
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