6533b85dfe1ef96bd12bf28b

RESEARCH PRODUCT

Internal inverse limits and retractions

M. M. MarshJanusz R. Prajs

subject

Discrete mathematicsSequenceGeneral Mathematics54A20Inverse$r$-maps54F6554C15retractions54F15CalculusIdentity functionInternal inverse limitMathematics

description

We establish equivalences between compacta that admit a sequence of retractions that converge uniformly to the identity map and compacta that are inverse limits on subcompacta with retractions for bonding maps. We give partial answers to questions of Charatonik and Prajs, and of Krasinkiewicz. Our results are related to and use results from another paper of the authors \cite{mp}.

yearjournalcountryeditionlanguage
2015-08-01
10.1216/rmj-2015-45-4-1209http://projecteuclid.org/euclid.rmjm/1446472431