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math.AT2025
The homology of permutation racks
Victoria Lebed, Markus Szymik
Despite a blossoming of research activity on racks and their homology for over two decades, with a record of diverse applications to central parts of contemporary mathematics, ther…
math.AT2024
Preludes to the Eilenberg-Moore and the Leray-Serre spectral sequences
Frank Neumann, Markus Szymik
The Leray-Serre and the Eilenberg-Moore spectral sequences are fundamental tools for computing the cohomology of a group or, more generally, of a space. We describe the relationshi…