Efimov K-theory and universal localizing invariant
Li He
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.
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Ubiquitin and proteasome pathways · Protein Tyrosine Phosphatases