Difference between revisions of "Fundamental group"

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The fundamental group is a concept in the study of [[algebraic topology]].  For every point in a [[topological space]], one can associate with it a group that conveys information on an open neighbourhood of that point.  The fundamental group is also the first [[homotopy group]].
 
The fundamental group is a concept in the study of [[algebraic topology]].  For every point in a [[topological space]], one can associate with it a group that conveys information on an open neighbourhood of that point.  The fundamental group is also the first [[homotopy group]].
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[[Category:Mathematics]]
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[[Category:Topology]]
 
[[Category:Algebra]]
 
[[Category:Algebra]]

Revision as of 16:53, April 1, 2007

The fundamental group is a concept in the study of algebraic topology. For every point in a topological space, one can associate with it a group that conveys information on an open neighbourhood of that point. The fundamental group is also the first homotopy group.