Small semi-Eberlein compacta and inverse limits

TL;DR

This paper investigates small semi-Eberlein compacta, focusing on their properties when constructed as inverse limits with semi-open retraction bonding maps, contributing to the understanding of their topological structure.

Contribution

It introduces a new subclass of small semi-Eberlein compacta formed via inverse limits with semi-open retractions, expanding the knowledge of their topological characteristics.

Findings

Characterization of small semi-Eberlein compacta as inverse limits

Identification of properties preserved under semi-open retraction bonding maps

Insights into the structure and properties of the new subclass

Abstract

We study properties of semi-Eberlein compacta related to inverse limits. We concentrate our investigation on an interesting subclass of small semi-Eberlein compacta whose elements are obtained as inverse limits whose bonding maps are semi-open retractions.