Fredholm theory for cofinite sets

Abstract

We investigate two ways in which self-maps of an infinite set may be close to bijections; our investigation generates a $\mathbb{Z}$-valued index theory and a corresponding extension by $\mathbb{Z}$ for the quotient of the full symmetric group by its finitary subgroup.

arXiv comment13 pages

Cited by in corpus (1)

• Index theory for partial-bijections