The spectral sequence of a polycomplex

TL;DR

This paper introduces the machinery of spectral sequences, focusing on their generalization from bicomplexes to higher complexes, providing foundational insights into their structure and applications.

Contribution

It extends the concept of spectral sequences from bicomplexes to arbitrary higher complexes, broadening their theoretical framework.

Findings

Provides a brief introduction to spectral sequences and bicomplexes.

Introduces a generalization to spectral sequences of higher complexes.

Lays groundwork for further research in spectral sequence applications.

Abstract

We give a very brief introduction to the machinery of spectral sequences, including the spectral sequence of a bicomplex. We then briefly introduce a generalisation of the spectral sequences of a bicomplex to the spectral sequences of abritrary higher complexes.