Recent content by mathsq

  1. M

    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.
  2. M

    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...
  3. M

    Is there a C^infty map that is one to one from R^n to R

    Thank you! That makes sense.
  4. M

    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.
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