Homotopy groups of the isotropy groups of annulus

Lee, Jong P.

doi:10.1090/S0002-9939-1974-0328965-1

Homotopy groups of the isotropy groups of annulus
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by Jong P. Lee

Proc. Amer. Math. Soc. 44 (1974), 213-217

DOI: https://doi.org/10.1090/S0002-9939-1974-0328965-1

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Abstract:

We compute the isotopy groups of various subspaces of the isotropy group at an interior point of an annulus. We also prove that if $a$ and $x$ are interior points of a disk $D$, then ${\pi _0}[H(D - a,x)] = {Z_2}$ and ${\pi _n}[H(D - a,x)] = 0$ for $n \geqq 1$ where $H(D - a,x)$ is the isotropy group at $x$.

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