Bi-Equivariant Fibrations

TL;DR

This paper introduces the concept of bi-equivariant fibrations, exploring their properties and relationships with other fibrations, and provides an intrinsic characterization of bi-equivariant Hurewicz fibrations.

Contribution

It defines bi-equivariant fibrations and establishes their fundamental properties and connections to other fibrations, advancing the understanding of equivariant topology.

Findings

Characterization of bi-equivariant Hurewicz fibrations

Theorems relating bi-equivariant fibrations to generated fibrations

Intrinsic properties of bi-equivariant fibrations

Abstract

The lifting problem for continuous bi-equivariant maps and bi-equivariant covering homotopies is considered, which leads to the notion of a bi-equivariant fibration. An intrinsic characteristic of a bi-equivariant Hurewicz fibration is obtained. Theorems concerning a relationship between bi-equivariant fibrations and fibrations generated by them are proved.