Isotopy in -manifolds. III. Connectivity of spaces of homeomorphisms

Author:
D. E. Sanderson

Journal:
Proc. Amer. Math. Soc. **11** (1960), 171-176

MSC:
Primary 54.00

DOI:
https://doi.org/10.1090/S0002-9939-1960-0112128-9

MathSciNet review:
0112128

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References | Similar Articles | Additional Information

**[1]**J. W. Alexander,*On the deformation of an -cell*, Proc. Nat. Acad. Sci. U.S.A. vol. 9 (1923) pp. 406-407.**[2]**P. Alexandroff and H. Hopf,*Topologie*I, Berlin, Springer, 1935.**[3]**E. E. Floyd and M. K. Fort, Jr.,*A characterization theorem for monotone mappings*, Proc. Amer. Math. Soc. vol. 4 (1953) pp. 828-830.**[4]**M. K. Fort, Jr.,*A proof that the group of all homeomorphisms of the plane onto itself is locally arcwise connected*, Proc. Amer. Math. Soc. vol. 1 (1950) pp. 59-62.**[5]**R. H. Fox,*On topologies for function spaces*, Bull. Amer. Math. Soc. vol. 51 (1945) pp. 429-132.**[6]**E. E. Moise,*Affine structures in -manifolds*, V.*The triangulation theorem and Hauptvermutung*, Ann. of Math. vol. 56 (1952) pp. 96-114.**[7]**J. H. Roberts,*Concerning homeomorphisms of the plane into itself*, Bull. Amer. Math. Soc. Abstract 44-9-402.**[8]**D. E. Sanderson,*Isotopy in -manifolds*. II.*Fitting homeomorphisms by isotopy*, Duke Math. J. vol. 26 (1959) pp. 387-396.**[9]**-, Thesis, University of Wisconsin, 1953.**[10]**J. W. T. Youngs,*The topological theory of Fréchet surfaces*, Ann. of Math. vol. 45 (1944) pp. 753-785.**[11]***Summary of Lectures and Seminars*, Summer Institute on Set Theoretic Topology, Madison, Wisconsin, 1955.

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DOI:
https://doi.org/10.1090/S0002-9939-1960-0112128-9

Article copyright:
© Copyright 1960
American Mathematical Society