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Eversion of the 6-sphere in 7-space
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Mar
15 |
comment |
What are some examples of ingenious, unexpected constructions?
I think they are non-intuitive simply because I wouldn't expect them to happen. Maybe that's just me. |
Mar
13 |
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Mar
12 |
revised |
What are some examples of ingenious, unexpected constructions?
added 228 characters in body |
Mar
12 |
answered | What are some examples of ingenious, unexpected constructions? |
Mar
7 |
comment |
Treating the Connected Sum (and other constructions) as a Push-out
Yes, that is the "with collars" construction I am thinking about (equivalently you could take $S^{n-1} \times (0,1)$) Do you think I should edit the OP to make that more explicit? |
Mar
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revised |
Treating the Connected Sum (and other constructions) as a Push-out
added 1 characters in body |
Mar
6 |
revised |
Treating the Connected Sum (and other constructions) as a Push-out
Made it more clear what I am looking for |
Mar
5 |
comment |
Treating the Connected Sum (and other constructions) as a Push-out
@Daniel No, that is not the question I am interested in. I am more interested in the cases where the topological pushout is actually a smooth pushout. Does this not happen even when the construction includes collars? |
Mar
5 |
comment |
Treating the Connected Sum (and other constructions) as a Push-out
This is not an example of the construction I am considering. I am aware that a collar is needed in order to induce a smooth structure on an open overlap. I am not asserting that every topological pushout is a Smooth pushout, I am looking for a reference in the cases where it is. |
Mar
5 |
asked | Treating the Connected Sum (and other constructions) as a Push-out |