Chapter Ⅰ．POLYTOPFS 1
1．Affine Simplexes and Complexes 1
2．Geometric Complexes 9
3．Comparison of the Topologies Associated with Affine Complexes 16
Chapter Ⅱ．SINGULAR COMPLEXES 23
Chapter Ⅲ．MAPPING AND IMBEDDING THEOREMS．RETRACTION 35
1．Fundamental Mapping Theorem 35
2．Application to Normal and Tychonoff Spaces 45
3．Compact Imbedding of Separable Metric Spaces 49
4．Topological Imbedding in Euclidean Spaces 53
5．Retraction 58
Chapter Ⅳ．LOCAL CONNECTEDNESS AND RELATED TOPICS 75
1．Localization 75
2．Partial Realization of Complexes．Application to Local Connectedness 81
3．Relations Between the LC Properties and Retraction 92
4．Characterization of the LC Properties by Mappings of Continuous Complexes 98
5．Homology Theory of LC Spaces 104
6．Coincidences and Fixed Points 112
7．HLC Spaces．Generalized Manifolds 123
Special Bibliography 127
General Bibliography 133
Index 136