[Home]History of Fundamental group

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Revision 7 . . August 23, 2001 9:58 pm by Zundark [every group is isomorphic to the fundamental group of some space]
Revision 6 . . (edit) August 22, 2001 8:46 pm by Zundark [aorund -> around]
  

Difference (from prior major revision) (no other diffs)

Changed: 13c13
Unlike many of the other groups associated with a topological space, the fundamental group need not be Abelian. An example of a space with a non-Abelian fundamental group is the complement of a [trefoil knot]? in R3.
Unlike many of the other groups associated with a topological space, the fundamental group need not be Abelian. In fact, every group is isomorphic to the fundamental group of some topological space. An example of a space with a non-Abelian fundamental group is the complement of a [trefoil knot]? in R3.

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