Recent content by mathsq
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Graduate S^2 union a line connecting the north and south pole
Thanks! So, I look at the group of deck transformations of the universal covering space (the string of beads), which I believe is Z. Then since the group of deck transformations of the universal covering space is isomorphic to the fundamental group, we are done.- mathsq
- Post #3
- Forum: Topology and Analysis
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Graduate S^2 union a line connecting the north and south pole
I have been trying to determine the fundamental group of S^2 union a line connecting the north and south pole by using the Seifert Van Kampen Theorem. But every time I try and pick my two subsets U and V they are either not open or not arcwise connected or their intersection isn't particularly...- mathsq
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- Line Pole South pole Union
- Replies: 6
- Forum: Topology and Analysis
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Graduate Is there a C^infty map that is one to one from R^n to R
Thank you! That makes sense.- mathsq
- Post #5
- Forum: Differential Geometry
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Graduate Is there a C^infty map that is one to one from R^n to R
Is there a C^infty map that is one to one from R^n to R? Thanks.- mathsq
- Thread
- Map
- Replies: 5
- Forum: Differential Geometry