| preface chapter ⅰ preliminaries ⅰ.1 sets and mappings ⅰ.2 partitions and permutations ⅰ.3 group actions ⅰ.4 networks ⅰ.5 notes chapter ⅱ surfaces ⅱ.1 polyhedra ⅱ.2 elementary equⅳalence ⅱ.3 polyhegons ⅱ.4 orientability ⅱ.5 classification ⅱ.6 notes chapter ⅲ embeddings of graphs ⅲ.1 geometric consideration ⅲ.2 surface closed curve axiom ⅲ.3 distinction ⅲ.4 joint tree model ⅲ.5 combinatorial properties . ⅲ.6 notes chapter ⅳ mathematical maps ⅳ.1 basic permutations ⅳ.2 conjugate axiom ⅳ.3 transitⅳity ⅳ.4 included angles ⅳ.5 notes chapter ⅴ duality on surfaces ⅴ.1 dual partition of edges ⅴ.5 notes chapter ⅵ invariants on basic class ⅵ.1 orientability ⅵ.2 euler characteristic ⅵ.3 basic equⅳalence ⅵ.4 orientable maps ⅵ.5 nonorientable maps ⅵ.6 notes chapter ⅶ asymmetrization ⅶ.1 isomorphisms ⅶ.2 recognition ⅶ.3 upper bound of group order ⅶ.4 determination of the group ⅶ.5 rootings ⅶ.6 notes chapter ⅷ asymmetrized census ⅷ.1 orientable equation ⅷ.2 planar maps... ⅷ.3 nonorientable equation ⅷ.4 gross equation ⅷ.5 the number of maps ⅷ.6 notes chapter ⅸ petal bundles ⅸ.1 orientable petal bundles ⅸ.2 planar pedal bundles ⅸ.3 nonorientable pedal bundles ⅸ.4 the number of pedal bundles ⅸ.5 notes chapter ⅹ super maps of genus zero chapter ? symmetric census chapter ? cycle oriented maps chapter ?ⅰ census by genus chapter ⅹⅳ classic applications appendix ⅰ embeddings and maps of small size distributed by genus appendix ⅱ orientable forms of surfaces and their nonorientable genus polynomials bibliography subject index author index |
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