The space of all self-homeomorphisms of a two-cell which fix the cell's boundary is an absolute retract

Author:
W. K. Mason

Journal:
Trans. Amer. Math. Soc. **161** (1971), 185-205

MSC:
Primary 54.28

DOI:
https://doi.org/10.1090/S0002-9947-1971-0286067-9

MathSciNet review:
0286067

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Abstract: The theorem mentioned in the title is proved. A corollary of the title theorem is: any homeomorphism between two compact subsets of the function space mentioned in the title can be extended to a homeomorphism of the function space onto itself.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1971-0286067-9

Keywords:
Retract,
absolute retract,
two-cell,
two-manifold,
two-manifold function space,
space of homeomorphisms,
infinite-dimensional manifold

Article copyright:
© Copyright 1971
American Mathematical Society