Real Wilson Spaces I

TL;DR

This paper introduces an equivariant analogue of Wilson's theory of even spaces, demonstrating that the loop spectrum for complex cobordism possesses this property, laying groundwork for further developments.

Contribution

It establishes the first part of a series defining equivariant Wilson spaces and shows that the complex cobordism spectrum is even in this new framework.

Findings

The loop spectrum for complex cobordism is even.

Introduction of equivariant Wilson spaces.

Foundation for future equivariant homotopy theory work.

Abstract

This is the first part in a series of papers establishing an equivariant analogue of Steve Wilson's theory of even spaces, including the fact that the spaces in the loop spectrum for complex cobordism are even.