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On confluent mappings and essential mappings - A survey

On confluent mappings and essential mappings - A survey

Introduction.In 1935, Eilenberg showed in [13] that if g: X -+ Fis a monotone mapping or an open mapping of compact metric spaces and if/: Y -> S 1 is a mapping such that /o g is homotopic to a constant mapping, then/is homotopic to a constant mapping.In 1964, Charatonik …