5 Topology
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Section 5.1: Introduction
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Section 5.2: Basic notions
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Section 5.3: Hausdorff spaces
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Section 5.4: Separated maps
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Section 5.5: Bases
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Section 5.6: Submersive maps
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Section 5.7: Connected components
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Section 5.8: Irreducible components
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Section 5.9: Noetherian topological spaces
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Section 5.10: Krull dimension
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Section 5.11: Codimension and catenary spaces
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Section 5.12: Quasi-compact spaces and maps
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Section 5.13: Locally quasi-compact spaces
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Section 5.14: Limits of spaces
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Section 5.15: Constructible sets
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Section 5.16: Constructible sets and Noetherian spaces
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Section 5.17: Characterizing proper maps
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Section 5.18: Jacobson spaces
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Section 5.19: Specialization
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Section 5.20: Dimension functions
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Section 5.21: Nowhere dense sets
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Section 5.22: Profinite spaces
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Section 5.23: Spectral spaces
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Section 5.24: Limits of spectral spaces
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Section 5.25: Stone-Čech compactification
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Section 5.26: Extremally disconnected spaces
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Section 5.27: Miscellany
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Section 5.28: Partitions and stratifications
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Section 5.29: Colimits of spaces
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Section 5.30: Topological groups, rings, modules