3 papers
math.RT2020
Sufficient and necessary conditions for hereditary of infinite category algebras
Malte Lackmann, Liping Li
We describe necessary and sufficient conditions for the hereditarity of the category algebra of an infinite EI category satisfying certain combinatorial assumptions. More generally…
math.AT2019
The octonionic projective plane
Malte Lackmann
This small note, without claim of originality, constructs the projective plane over the octonionic numbers and recalls how this can be used to rule out the existence of higher-dime…
math.KT2019
External Spanier-Whitehead duality and homology representation theorems for diagram spaces
Malte Lackmann
We construct a Spanier-Whitehead type duality functor relating finite -spectra to finite -spectra and prove that every -homolog…