Re: Union of disks forms a sphere



In article <bkcjv11t57plhr1pcltstqal6p0l6r77k7@xxxxxxx>,
Toni Lassila <tlassila@xxxxxxxxx> wrote:
How to prove formally without resorting to Euler characteristics that
if the intersection of two 2-disks is exactly the boundary circle of
each, then their union is a 2-sphere?

How about using the definition of "homeomorphism" ?

dave

.



Relevant Pages

  • Union of disks forms a sphere
    ... How to prove formally without resorting to Euler characteristics that ... if the intersection of two 2-disks is exactly the boundary circle of ... then their union is a 2-sphere? ...
    (sci.math)
  • Re: Corners in metric spaces
    ... and a ball are both smooth in an intuitive sense. ... Neither has their union ... the intersection of B_i and boundary of S is empty ... to get scetch of proof or counterexample of Sentence 2 ...
    (sci.math)
  • Re: Junk Dna!
    ... elements are not present at internal nodes in a nested hierarchy. ... consequence of the definition of intersection. ... A, can be in union with B,C & D at the same time! ...
    (talk.origins)
  • Re: Lazy question about De Morgans Laws
    ... the complement of a union is the intersection of the ... closed sets, and the fact that we are only allowed to take infinite ...
    (sci.math)
  • Re: Lazy question about De Morgans Laws
    ... the complement of a union is the intersection of the ... closed sets, and the fact that we are only allowed to take infinite ...
    (sci.math)