Skeletal mappings and inverse systems
by
Andrzej Kucharski
Instytut Matematyki, Uniwersytet Śląski, Katowice, Poland

In the paper by me and Sz. Plewik, see arxiv.org/abs/0706.3815, we show that a compact space is I-favorable if, and only if it can be represented as the limit of a s-complete inverse system of compact metrizable spaces with skeletal bonding maps. This theorem is a link between three subjects, i.e.

• Skeletal mappings - equivalent notions: almost-open or semi-open mappings.

• Schepin's notion of s-complete inverse systems with open bonding maps.

• The open open game and I favorable spaces.

Date received: June 30, 2008