Electronic Version 19 (1994), 249-276

Carl L. Seaquist

The main result of this paper is a new construction of a continuous decomposition of a two dimensional disk so that each point of the decomposition space is a non-degenerate non-separating continuum. The decomposition space is homeomorphic to the disk. Even though R. D. Anderson in described a similar non-trivial continuous decomposition of the disk, our construction is of interest because one can extend it to create a non-trivial continuous decomposition of the Sierpinski curve which is homeomorphic to the Sierpinski curve.

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volume 19: table of contents
topology proceedings Electronic Version