# Efimov K-theory and universal localizing invariant

## TL;DR

This paper explores Efimov K-theory, establishing its fundamental properties such as corepresentability, monoidal structure, and behavior on certain squares, contributing to the understanding of its algebraic and categorical features.

## Contribution

It introduces basic properties of Efimov K-theory, including corepresentability and monoidal functor characteristics, expanding its theoretical framework.

## Key findings

- Efimov K-theory is corepresentable.
- It is a lax symmetric monoidal functor.
- It preserves small products and sends Milnor squares with base change to cartesian squares.

## Abstract

We give some basic properties of Efimov K-theory. In particular, Efimov K-theory is corepresentable, lax symmetric monoidal functor, preserves any small products and sends Milnor squares satisfying base change to cartesian squares.

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Source: https://tomesphere.com/paper/2302.13052