Chapter 3

Elements of Combinatorial Topology

Abstract

This chapter defines the basic notions of topology needed to formulate the language we use to describe distributed computation.

Keywords

Abstract simplicial complex; Affine combination; Barycentric subdivision; Boundary; Carrier map; Chromatic subdivision; Combinatorial topology; Complex; Cone; Convex combination; Convex hull; Dimension; Face; Geometric simplicial complex; Join; Link; Polyhedron; Simplex; Simplicial map; Skeleton; Star; Subcomplex; Subdivision; Vertex

This chapter defines the basic notions of topology needed to formulate the language we use to describe distributed computation.

Topology is a branch of geometry devoted to drawing the distinction between the essential and inessential ...

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