Van Kampen’s theorem result
There is a more general version of the theorem of van Kampen which involves the fundamental groupoid on a set of base points, defined as the full subgroupoid of on the set . This allows one to compute the fundamental group of the circle and many more cases.
This may be found in R. Brown’s book “Topology: a geometric account of general topology and the fundamental groupoid”, Ellis Horwood 1988 (first edition McGraw Hill, 1968). It has many useful applications, and was the guide for higher dimensional theorems involving higher homotopy groupoids.
|Title||Van Kampen’s theorem result|
|Date of creation||2013-03-22 14:09:23|
|Last modified on||2013-03-22 14:09:23|
|Last modified by||mathcam (2727)|