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Jun 27, 2022 at 18:48 comment added Denis Nardin In this wikipedia page you can find essentially a proof that a domain in the plane with trivial deRham cohomology is simply connected
Jun 27, 2022 at 18:17 history edited Glorfindel CC BY-SA 4.0
deleted 1 character in body
Jun 27, 2022 at 18:01 comment added Ryan Budney The idea is this 2-manifold can be understood to be built using only a single 0-handle with 1-handles attached. So that's why the $H_1$ computation suffices.
Jun 27, 2022 at 17:34 comment added Moishe Kohan This was discussed at MO before: Fundamental group of a noncompact surface is free.
Jun 27, 2022 at 17:30 history edited YCor CC BY-SA 4.0
removed capitals from title, fixed English (substantive of "simply X" is "simple Xness")
S Jun 27, 2022 at 17:07 review First questions
Jun 27, 2022 at 18:17
S Jun 27, 2022 at 17:07 history asked Christopher Nicol CC BY-SA 4.0