# Cubical and cosimplicial descent

## TL;DR

This paper proves that key algebraic and topological invariants like K-theory, THH, and TC satisfy descent properties in cubical and cosimplicial contexts for connective structured ring spectra along 1-connected maps.

## Contribution

It establishes the descent properties of algebraic K-theory, THH, and TC in cubical and cosimplicial frameworks for connective structured ring spectra.

## Key findings

- K-theory satisfies cubical and cosimplicial descent
- THH satisfies cubical and cosimplicial descent
- TC satisfies cubical and cosimplicial descent

## Abstract

We prove that algebraic K-theory, topological Hochschild homology and topological cyclic homology satisfy cubical and cosimplicial descent at connective structured ring spectra along 1-connected maps of such ring spectra.