Linked from

The 52 pages that link to Topology, each with the reason it gives.

• Geographic information systemRelated: Topological rules help GIS detect gaps, overlaps, and disconnected features.

• Graph theoryCompared with: Topology studies broad spatial structure, whereas graph theory focuses on discrete vertices and edges.

• Differential geometryCompared with: Topology ignores many metric details that differential geometry measures through smooth structures.

• Henri PoincaréNarrower topic: Poincaré helped establish topology as a distinct branch of mathematics.

• Open setNarrower topic: Open sets are the defining data of a topology.

• Topological spaceNarrower topic: A topological space is the basic object studied in topology.

• Brouwer fixed-point theoremNarrower topic: Brouwer's theorem became a foundational existence result in this broader field.

• Sigma-algebraCompared with: A topology's closure rules differ from those defining a sigma-algebra.

• GeometryNarrower topic: It strips geometry down to continuity and connectedness rather than exact distances and angles.

• Functional analysisNarrower topic: Topological structure makes continuity and convergence meaningful beyond numerical spaces.

• Closed setNarrower topic: Changing the topology can change which subsets count as closed.

• Spatial analysisRelated: Topological relationships support analyses of boundaries, networks, and neighboring areas.

• Gauss–Bonnet theoremNarrower topic: The Euler characteristic on the theorem’s right side is topological.

• Weak convergenceNarrower topic: Weak convergence is convergence in a topology generated by chosen tests.

• ConvexityRelated: Convex sets are topologically simple, though convexity imposes stronger geometric structure.

• Distance geometryCompared with: Topology generally ignores exact metric values that distance geometry uses.

• Product topologyNarrower topic: Product topology is a particular topology chosen to satisfy a condition on projections.

• L. E. J. BrouwerNarrower topic: Brouwer’s major mathematical contributions helped shape topology as a modern field.

• Subspace topologyNarrower topic: A subspace topology is one way to construct a topology on a set.

• Wacław SierpińskiNarrower topic: Sierpiński contributed to point-set topology and studied spaces now bearing his name.

• Sequential compactnessNarrower topic: Convergence, and therefore sequential compactness, is determined by the topology.

• August Ferdinand MöbiusNarrower topic: The one-sidedness of the Möbius strip is a basic topological feature rather than a metric one.

• Heyting algebraRelated: The open sets of any topological space form a Heyting algebra.

• LabyrinthNarrower topic: Topology separates a labyrinth’s connectivity from its drawn shape.

• Portmanteau theoremRelated: Open and closed sets supply the theorem’s geometric convergence tests.

• Basis (topology)Narrower topic: A basis is a generating description of a topology.

• Euler's polyhedron formulaNarrower topic: Topology explains why the formula depends on surface type rather than exact shape.

• Mathematical structureRelated: Topological spaces carry structure through designated collections of open subsets.

• Möbius stripNarrower topic: The strip became a striking early example of topology's focus on global structure.

• Spatial dataRelated: Topological relations capture how spatial features connect or touch, independent of exact measurements.

• Chern numberNarrower topic: Chern numbers classify global features that smooth changes cannot remove.

• Geometric analysisCompared with: Topological conclusions often emerge from geometric analysis, but topology itself does not require metric estimates.

• History of geometryRelated: Topology broadened geometric inquiry from metric measurements to qualitative structure.

• Pure mathematicsRelated: It abstracts shape and continuity beyond measurements such as length and angle.

• Seven Bridges of KönigsbergRelated: Euler’s abstraction preserved connections while ignoring the bridges’ lengths and shapes.

• Ham sandwich theoremNarrower topic: The theorem's general proof draws on topological results about spheres and antipodal symmetry.

• Invariance of domainNarrower topic: Invariance of domain is a landmark result about how continuous maps constrain the shape of spaces.

• Oswald VeblenNarrower topic: Veblen helped establish topology as a distinct research field in the United States.

• Solid geometryCompared with: It classifies spatial forms by connectivity rather than exact lengths or angles.

• Whitney embedding theoremNarrower topic: Embedding questions ask how topological spaces can sit inside Euclidean spaces with added smooth structure.

• 3-sphereRelated: It captures the 3-sphere’s global structure independently of its embedding.

• Dehn's lemmaNarrower topic: The lemma belongs to topology's broader study of embedded and mapped spaces.

• Lindelöf's lemmaNarrower topic: The lemma is a theorem about open sets and topological spaces.

• Pavel AlexandrovNarrower topic: Alexandrov’s work helped establish topology as a major field in the Soviet Union.

• Anatoly FomenkoNarrower topic: Fomenko’s established mathematical research centered on topology before his historical claims.

• Geometry (configuration)Compared with: Topology ignores exact distances and angles that distinguish geometric configurations.

• Kuratowski's closure-complement problemNarrower topic: The problem abstracts a basic topological operation into an algebraic question.

• Mary Ellen RudinNarrower topic: Rudin’s set-theoretic questions arose within this broader study of spaces and continuity.

• Mathematical conceptsRelated: Topology abstracts notions of continuity and connectedness beyond measurement.

• Ostrowski's theoremRelated: Equivalence of absolute values on a field is determined by the topology they induce.