Normalized set-theoretic Yang-Baxter homology of biquandles and biquandle spaces.
Biracks and biquandles, which are useful for studying the knot theory, are special families of solutions to the set-theoretic Yang-Baxter equation. A homology theory for the set-theoretic Yang-Baxter…
Programming before theorizing, a case study
This paper relates how a "simple" result in combinatorial homotopy eventually led to a totally new understanding of basic theorems in Algebraic Topology, namely the Eilenberg-Zilber theorem, the…
Chains on suspension spectra
We define and study a homological version of Sullivan's rational de Rham complex for simplicial sets. This new functor can be generalised to simplicial symmetric spectra and in that context it has…
Homotopy resolutions of semi-simplicial complexes
One of the major problems of homotopy theory concerns the classification of topological spaces into homotopy types. This problem has as an obvious generalization that of the classification of spaces…
Simploidals sets: Definitions, operations and comparison with simplicial sets
- MathematicsDiscret. Appl. Math.
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Homology With Local Coefficients
In a recent paper  the author has had occasion to introduce and use what he believed to be a new type of homology theory, and he named it homology with local coefficients. It proved to be the…