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Apr
29
awarded  Nice Question
Feb
26
awarded  Good Answer
Feb
21
awarded  Popular Question
Jul
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Dec
2
awarded  Nice Question
Dec
1
revised Eversion of the 6-sphere in 7-space
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Dec
1
asked Eversion of the 6-sphere in 7-space
Sep
17
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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
awarded  Nice Answer
Mar
12
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Mar
12
revised What are some examples of ingenious, unexpected constructions?
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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
6
revised Treating the Connected Sum (and other constructions) as a Push-out
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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