Deformation and mapping theorems
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Fundamenta Mathematicae
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D. Bourgin (1959)
Fundamenta Mathematicae
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R. Goodstein (1956)
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Marston Morse, J. Jenkins (1952)
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The present paper has three main objects: 1. to study the analogy between ordinary two-dimensional space and a plane continuous curve; 2. to characterize and analyze the boundaries of the domains complementary to a plane continuous curve; 3. to give a new characterization of continuous curves suitable for any number of dimensions;