An Efimov space with character less than $\mathfrak s$

TL;DR

This paper discusses the consistency of the existence of a compact Efimov space with character less than the splitting number, which lacks converging sequences, contributing to the understanding of Efimov spaces in topology.

Contribution

It demonstrates the consistent existence of a compact Efimov space with character less than the splitting number, a novel construction in topology.

Findings

Existence of a compact Efimov space with character less than the splitting number

Such a space contains no converging sequences

The result is consistent with set-theoretic assumptions

Abstract

It is consistent that there is a compact space of character less than the splitting number in which there are no converging sequences. Such a space is an Efimov space.