Geodesic
Raising dimension under all projections
Fundamenta Mathematicae, Tome 144 (1994) no. 2, pp. 119-128 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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As a special case of the general question - "What information can be obtained about the dimension of a subset of $ℝ^n$ by looking at its orthogonal projections into hyperplanes?" - we construct a Cantor set in $ℝ^3$ each of whose projections into 2-planes is 1-dimensional. We also consider projections of Cantor sets in $ℝ^n$ whose images contain open sets, expanding on a result of Borsuk.
DOI : 10.4064/fm-144-2-119-128

John Cobb 1

1 
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John Cobb. Raising dimension under all projections. Fundamenta Mathematicae, Tome 144 (1994) no. 2, pp. 119-128. doi: 10.4064/fm-144-2-119-128

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