Difference between revisions of "Fundamental group"
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(Expanded description of objects in the fundamental group.) |
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| − | The fundamental group is a concept in the study of [[algebraic topology]], used primarily to distinguish one [[topological space]] from another. The fundamental group is the first [[homotopy group]], defined at a particular point to be the set of loops based at the point, modulo the relationship of being contractible to the identity loop. | + | The '''fundamental group''' is a concept in the study of [[algebraic topology]], used primarily to distinguish one [[topological space]] from another. The fundamental group is the first [[homotopy group]], defined at a particular point to be the set of loops based at the point, modulo the relationship of being contractible to the identity loop. |
[[Category:Topology]] | [[Category:Topology]] | ||
[[Category:Algebra]] | [[Category:Algebra]] | ||
Revision as of 16:19, September 30, 2007
The fundamental group is a concept in the study of algebraic topology, used primarily to distinguish one topological space from another. The fundamental group is the first homotopy group, defined at a particular point to be the set of loops based at the point, modulo the relationship of being contractible to the identity loop.