Contemporary Mathematics 1989; 164 pp; softcover Volume: 103 ISBN10: 0821851098 ISBN13: 9780821851098 List Price: US$48 Member Price: US$38.40 Order Code: CONM/103
 The focus of this work is the study of global properties of various kinds of colorings and maps of simplicial complexes. In addition to the usual sorts of coloring, the author studies colorings determined by groups, colorings based on regular polyhedra, and continuous colorings in finitely and infinitely many colors. The emphasis is on how all the colorings fit together, rather than on the existence of colorings or the number of colorings. Beginning with some fundamental properties of simplicial complexes and colorings, the author shows how colorings relate to various aspects of group theory, geometry, graph theory, and topology. Table of Contents  Properties of the combinatorial category
 The symmetric group complex \(S_n\)
 Complexes arising from geometry
 Graphs
 Complexes with a structure group
 Reflexive and self dual complexes
 Continuous colorings
 Coloring with arbitrary complexes
