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arXiv · 2603.11967

Directed homological and cohomological operations

Eric Goubault
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Abstract

In this short note, we present a persistence module approach to directed cohomology, dual to the directed homology introduced by the author in a previous article. We lay out the first properties of directed cohomology and in particular of cohomological operations, partially linked to some homological operations. We treat here both the case of a specific class of precubical sets and of general directed spaces.

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Eric Goubault. 2026-03-12. Directed homological and cohomological operations. https://arxiv.org/abs/2603.11967

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