5 Topology

Chapter 5 of the Stacks Project, Topology, Tag 004C: the 28 sections of its 30 with a tag that a declaration carries, one article each, in the Stacks Project's order. Their 197 tags are carried by 217 declarations of the repository (24 in StacksCore and 193 in StacksFrontier) and 124 registered declarations.

5.3 Hausdorff spaces to 5.22 Profinite spaces

• 5.3 Hausdorff spaces
• 5.4 Separated maps
• 5.5 Bases
• 5.6 Submersive maps
• 5.7 Connected components
• 5.8 Irreducible components
• 5.9 Noetherian topological spaces
• 5.10 Krull dimension
• 5.11 Codimension and catenary spaces
• 5.12 Quasi-compact spaces and maps
• 5.13 Locally quasi-compact spaces
• 5.14 Limits of spaces
• 5.15 Constructible sets
• 5.16 Constructible sets and Noetherian spaces
• 5.17 Characterizing proper maps
• 5.18 Jacobson spaces
• 5.19 Specialization
• 5.20 Dimension functions
• 5.21 Nowhere dense sets
• 5.22 Profinite spaces

5.23 Spectral spaces to 5.30 Topological groups, rings…

• 5.23 Spectral spaces
• 5.24 Limits of spectral spaces
• 5.25 Stone-Čech compactification
• 5.26 Extremally disconnected spaces
• 5.27 Miscellany
• 5.28 Partitions and stratifications
• 5.29 Colimits of spaces
• 5.30 Topological groups, rings, modules

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