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May 8, 2019 at 5:32 comment added Yuji Tachikawa @RyanBudney It turned out that what I needed was really the fundamental class as explained by Oscar, and not a twisted version of orientation. So, as Oscar kindly explained, this was a non-issue. Thank you for your time.
May 8, 2019 at 5:19 vote accept Yuji Tachikawa
May 7, 2019 at 22:11 comment added Ryan Budney Could you address Oscar's concerns? I wasn't certain of what kind of bordism you want to consider. It looks like you are perhaps desiring a kind of bordism theory for the orientation covers of manifolds.
May 7, 2019 at 19:17 answer added Oscar Randal-Williams timeline score: 12
S May 7, 2019 at 12:22 history suggested user64494 CC BY-SA 4.0
The title is improved.
May 7, 2019 at 12:11 review Suggested edits
S May 7, 2019 at 12:22
May 7, 2019 at 6:23 comment added Yuji Tachikawa Could you suggest the names of those experts? I might pester them by emailing them.
May 7, 2019 at 5:19 comment added Ryan Budney It may well be, but I'm not certain if any of those experts are regulars here.
May 7, 2019 at 4:51 history asked Yuji Tachikawa CC BY-SA 4.0