On moduli subspaces of central extensions of rational H-spaces

TL;DR

This paper explores the structure of moduli spaces of central extensions of rational H-spaces with specific algebraic properties, revealing that certain properties are independent in this context.

Contribution

It provides a detailed analysis of the moduli sets of central extensions of rational H-spaces, highlighting the independence of inversivity and power associativity.

Findings

No general relationship between inversivity and power associativity in rational H-space extensions.

Characterization of moduli sets for central extensions with Moufang properties.

Insights into the algebraic independence of properties in rational H-space extensions.

Abstract

We investigate the moduli sets of central extensions of H-spaces enjoying inversivity, power associativity and Moufang properties. By considering rational H-extensions, it turns out that there is no relationship between the first and the second properties in general.