Piecewise Linear Topology

By J. L. Bryant. 2001

206 citations recorded by the source corpus.

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Projectivities in simplicial complexes and colorings of simple polytopes (2001, background): “For a general introduction to combinatorial and PL-manifolds see Hudson [12], Glaser [10], or [13, 65 (IX.”
Surveys in Contemporary Mathematics: Embedding and knotting of manifolds in Euclidean spaces (2006, unknown): “that K ⊂ B and K ց ∗ imply B ց K, is true only in codimension ≥ 3 [Hu69].”
Singular Intersection Homology (2020, methodology): “C of [128], which we repeat also as Theorem B.”
Random Complexes and l^2-Betti Numbers (2008, unknown): “228 of Bryant (2002), or p. 25 of Fenn (1983). In this case, there are bijections φk : ΞkX → Ξn−kX ∗ such that the matrix of δn−k,X∗ equals that of ∂k,X or its negative.”
Toric Topology (2012, methodology): “For a topological approach to PL maps (where a PL map is defined between spaces rather than their triangulations) we refer to standard sources on PL topology, such as [127] and [199].”