English

An introduction to filtered and synthetic spectra

Algebraic Topology 2025-12-24 v2

Abstract

Expository notes about spectral sequences, filtered spectra, and synthetic spectra. We focus on the τ\tau-formalism as it arises in filtered spectra.

Keywords

Cite

@article{arxiv.2509.21127,
  title  = {An introduction to filtered and synthetic spectra},
  author = {Sven van Nigtevecht},
  journal= {arXiv preprint arXiv:2509.21127},
  year   = {2025}
}

Comments

v2: minor changes (added some references, added some small results, fixed typos). Comments welcome!