Timeline for what is this simple topological space?

6 events

when toggle format	what		by	license	comment
Jan 24 at 14:55	vote	accept	Virgile Guemard
Jan 24 at 1:50	answer	added	Allen Hatcher		timeline score: 16
Jan 24 at 0:29	comment	added	Daniel Asimov		A cylinder S^1 x [0, 1] with S^1 x {1} quotiented out by the antipodal map is just a Möbius band. So this space is a Möbius band with its boundary circle quotiented out by identifying points that are 2π/3 apart.
Jan 23 at 20:50	history	edited	Virgile Guemard	CC BY-SA 4.0	added 54 characters in body
Jan 23 at 20:37	comment	added	user515519		What do you mean by "Is it well characterized?" ? One way to describe it, is that it looks like a usual cylinder $[0,1]\times \mathbb{S}^1$ with the property that the projection of any circle $\{t\}\times \mathbb{S}^1$, with $0<t<1$, on $\{0\}\times \mathbb{S}^1$ becomes a $3-$fold cover in the quotient. And similarly, the projection of $\{t\}\times \mathbb{S}^1$ on $\{1\}\times \mathbb{S}^1$ becomes a $2-$fold cover in the quotient.
Jan 23 at 18:20	history	asked	Virgile Guemard	CC BY-SA 4.0