activity
20162026
most citedOn good morphisms of exact triangles

3 citations · 4 across the 4 of their papers we have counts for

collaborators

6 papers

math.AT2026

Lower bounds on the number of homotopy types of -gauge groups over spheres

Martin Frankland, Yang Hu

We explore the classical question of enumerating the homotopy types of gauge groups of principal -bundles over in the unstable range . Using com…

math.AT2022

Multiparameter persistence modules in the large scale

Martin Frankland, Donald Stanley

A persistence module with discrete parameters is a diagram of vector spaces indexed by the poset . If we are only interested in the large scale behavior of such a…

math.AT2020★ 3 cited

On good morphisms of exact triangles

J. Daniel Christensen, Martin Frankland

In a triangulated category, cofibre fill-ins always exist. Neeman showed that there is always at least one "good" fill-in, i.e., one whose mapping cone is exact. Verdier constructe…

math.CT2018

The DG-category of secondary cohomology operations

Hans-Joachim Baues, Martin Frankland

We study track categories (i.e., groupoid-enriched categories) endowed with additive structure similar to that of a 1-truncated DG-category, except that composition is not assumed…

math.AT2017

Eilenberg-MacLane mapping algebras and higher distributivity up to homotopy

Hans-Joachim Baues, Martin Frankland

Primary cohomology operations, i.e., elements of the Steenrod algebra, are given by homotopy classes of maps between Eilenberg--MacLane spectra. Such maps (before taking homotopy c…

math.AT2016★ 1 cited

A user's guide: Completed power operations for Morava -theory

Martin Frankland

The user's guide provides a behind-the-scenes look at the paper of that title.