ANALYTIC THEORY OF CONTINUOUS TRANSFORMATIONS. I
PURDUE RESEARCH FOUNDATION LAFAYETTE IND
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An analysis of the theory of continuous transformations is made. It concerns the analog of the Geocze area of mappings from specific subsets of Euclidean K-space, E sub K, and Euclidean N-space, E sub n. By use of combinatorial topology and algebraic topology the notion of polyhedral regions is defined. Theorems and proofs of constructions of certain polyhedral regions are presented.