The branching nerve of HDA and the Kan condition.
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The cohomology ring of free loop spaces.
Menichi, Luc (2001)
Homology, Homotopy and Applications
The fundamental group of balanced simplicial complexes and posets.
Klee, Steven (2009)
The Electronic Journal of Combinatorics [electronic only]
The moduli space of n tropically collinear points in Rd.
Mike Develin (2005)
Collectanea Mathematica
The tropical semiring (R, min, +) has enjoyed a recent renaissance, owing to its connections to mathematical biology as well as optimization and algebraic geometry. In this paper, we investigate the space of labeled n-point configurations lying on a tropical line in d-space, which is interpretable as the space of n-species phylogenetic trees. This is equivalent to the space of n x d matrices of tropical rank two, a simplicial complex. We prove that this simplicial complex is shellable for dimension...
The S1-CW decomposition of the geometric realization of a cyclic set
Zbigniew Fiedorowicz, Wojciech Gajda (1994)
Fundamenta Mathematicae
We show that the geometric realization of a cyclic set has a natural, -equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and -equivariant Borel homology of its geometric realization.
The tropical Grassmannian.
Speyer, David, Sturmfels, Bernd (2004)
Advances in Geometry
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