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Completely regular mappings and homogeneous, aposyndetic continua
Canadian Journal of Mathematics - Journal Canadien de Mathematiques
The purpose of this note is to prove an improved version of Jones' Aposyndetic Decomposition Theorem. Corollaries to the new theorem re-emphasize the importance of understanding aposyndetic, homogeneous continua. The proof is a synthesis of results about homogeneous continua with results from an unexpected source: completely regular mappings. Completely regular mappings occur naturally and often in the study of homogeneous continua, which is a surprising and pleasing phenomenon, since thesedoi:10.4153/cjm-1981-039-4 fatcat:oupv4tzjpbc67ht5p5vauc6ypa