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Homology with multiple-valued functions applied to fixed points
Certain multiple-valued functions (<italic>m</italic>-functions) are defined and a homology theory based upon them is developed. In this theory a singular simplex is an <italic>m</italic>-function from a standard simplex to a space and an <italic>m</italic>-function from one space to another induces a homomorphism of homology modules. In a family of functions …