151 Citations
Normalized set-theoretic Yang-Baxter homology of biquandles and biquandle spaces.
- Mathematics
- 2020
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
- MathematicsISSAC
- 2012
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
- Mathematics
- 2008
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
- Mathematics
- 1955
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.
- 2009
3‐manifolds efficiently bound 4‐manifolds
- Mathematics
- 2008
It has been known since 1954 that every 3‐manifold bounds a 4‐manifold. Thus, for instance, every 3‐manifold has a surgery diagram. There are several proofs of this fact, but little attention has…
References
SHOWING 1-5 OF 5 REFERENCES
Homology With Local Coefficients
- Mathematics
- 1943
In a recent paper [16] 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…