TL;DR
This paper provides a simplified proof demonstrating that a generalized complex of injective words has non-zero homology only in its top degree, clarifying its topological properties.
Contribution
It offers a straightforward proof of the homology vanishing in all but the top degree for the complex of injective words and its generalizations.
Findings
Homology vanishes in all but the top degree
Simplified proof technique for complex of injective words
Generalization of the complex analyzed
Abstract
We give a simple proof that (a generalization of) the complex of injective words has vanishing homology in all except the top degree.
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