Abstract:The aim of the paper is to study the preservation and the reflection of acc and hacc spaces under various kinds of mappings. In particular, we show that acc and hacc are not preserved by perfect mappings and that acc is not reflected by closed (nor perfect) mappings while hacc is reflected by perfect mappings.
Keywords: acc space, hacc space, countably compact space, ordinal space, cofinality
AMS Subject Classification: 54D20, 54D30