On hereditarily indecomposable compacta and factorization of maps

zbMATH Open1259.54013arXiv0805.2265MaRDI QIDQ3016207

Elżbieta Pol, K. P. Hart

Publication date: 14 July 2011

Abstract: We prove a general factorization theorem for maps with hereditarily indecomposable fibers and apply it to reprove a theorem of Mackoviak on the existence of universal hereditarily indecomposable continua.

Full work available at URL: https://arxiv.org/abs/0805.2265

zbMATH Keywords

factorizationČech-Stone compactificationLöwenheim-Skolem theoremhereditarily indecomposable compact space

Mathematics Subject Classification ID

Continua and generalizations (54F15) Dimension theory in general topology (54F45) Applications of model theory (03C98)

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