On the Bass-Quillen Conjecture and Swan's question

TL;DR

This paper discusses a question that, if answered positively, would resolve the long-standing Bass-Quillen Conjecture in algebraic K-theory.

Contribution

It introduces a new question whose positive resolution would settle the Bass-Quillen Conjecture.

Findings

Identifies a key question linked to the conjecture

Highlights the importance of this question for algebraic K-theory

Suggests a potential pathway to a complete solution

Abstract

We present a question which implies a complete positive answer for the Bass-Quillen Conjecture.