Fundamental group and covering space of Möbius band wedged …
Jul 14, 2017 · This relation is in fact an instance of a $\mathbb{Z}$-action on the infinite band $\mathbb{R}\times [0 ...
general topology - Differentiable atlas for infinite Mobius strip ...
May 15, 2018 · Differentiable atlas for infinite Mobius strip. Ask Question Asked 6 years, 7 months ago.
general topology - Is there a Mobius (infinite) cylinder?
Apr 29, 2016 · If the fibers are copies of $[{-1},1]$ then you obtain a Moebius band with boundary, which is compact. As to your last question: Here is the double cover of a Moebius band of "infinite width" and without selfintersections in ${\mathbb R}^4$:
Differential approach to solve the 'ant on rubber rope' problem
Feb 19, 2020 · The second term is because of the stretch of the rubber band, the third term is the motion of the ant itself. Now I calculate the difference $\epsilon_1 - \epsilon_0$ which I find to be $$\Delta \epsilon = \epsilon_1 - \epsilon_0 = \frac{v\Delta t}{y_0 + u\Delta t}$$
Why an open upper half plane is not homeomorphic to infinite …
Jun 5, 2017 · It is due to the fact that any homeomorphism maps the boundary of one to the other. The boundary of the range which is the infinite band is not connected, but the domain i.e the upper hand plane has a connected boundary. A homeomorphism is a continuous map, and images of connected sets under continuous maps are connected. And so what can you ...
The differential structure of infinite Mobius strip
Dec 16, 2018 · $\begingroup$ Why don't you add to your question the meaning of "can be given a differentiable structure" (there are multiple (equivalent) definitions, and it'd be nice for us to know which one you're using).
Stretching a rubber band - Mathematics Stack Exchange
Jul 31, 2021 · (You can even have whole segments that match, technically giving and infinite number of such points. Moreover, the functions can touch but not cross at points... but so long as the left-most point of the tan curve is below the blue, and the right-most point is above the blue, you MUST have at least one crossing point.)
Infinite, Odd Möbius Strip - Mathematics Stack Exchange
Jan 16, 2020 · Infinite, Odd Möbius Strip. Ask Question Asked 4 years, 9 months ago. Modified 4 years, 9 months ago. ...
Explanation of non-orientability of the Möbius band
Aug 14, 2014 · Make a Mobius band from a strip of paper: glue the ends together with a half-twist. Try to color one side red and the "other side" blue with crayons. You will find that you cannot distinguish one side from the other globally. Seriously. If you haven't tried this as a kid, you really should do this physical exercise now, it won't take long.
Do there exist 3D "space-filling" sphere-like spirals?
Nov 20, 2016 · Is there a known example of a 3D spiral that fills the space in a sphere-like manner, similarly to a spiral filling the plane as a concentrically circling curve?