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The 56 pages that link to Henri Poincaré, each with the reason it gives.

• Special relativityRelated: His work anticipated several mathematical and conceptual elements of the theory.

• Celestial mechanicsRelated: His analysis revealed the complexity and sensitivity hidden in gravitational motion.

• TopologyRelated: His work on analysis situs shaped foundational tools such as homology and the fundamental group.

• Lorentz transformationRelated: He recognized that the transformations form a group and connected them to relativity.

• Chaos theoryRelated: His analysis of the three-body problem exposed intricate, nonperiodic dynamics.

• Élie CartanRelated: Poincaré’s work on continuous groups formed part of the intellectual setting for Cartan’s research.

• Hendrik LorentzRelated: Poincaré clarified the mathematical significance of Lorentz’s transformations and named them.

• Brouwer fixed-point theoremRelated: His questions about periodic orbits helped motivate fixed-point methods in topology.

• École polytechniqueRelated: Poincaré studied and later taught at École polytechnique.

• Stability theoryRelated: His work helped shift attention from explicit formulas to the qualitative behavior of trajectories.

• Three-body problemRelated: His analysis exposed the complexity that defeats simple general solutions.

• Mathematical physicsRelated: His qualitative study of dynamical systems transformed the mathematics of classical mechanics.

• Algebraic topologyRelated: His 1895 paper Analysis Situs helped establish topology and introduced the fundamental group.

• Homological algebraRelated: Poincaré's topological work helped motivate the homology theories later treated algebraically.

• Émile BorelRelated: Poincaré’s broad mathematical influence framed the intellectual world in which Borel worked.

• Poincaré recurrence theoremRelated: The recurrence theorem is named for his work on the long-term behavior of mechanical systems.

• Uniformization theoremRelated: Poincaré established foundational results and methods in the theory of uniformization.

• Jacques HadamardRelated: Hadamard extended and developed ideas in analysis and mathematical physics alongside Poincaré’s generation.

• Poincaré conjectureRelated: He posed the three-dimensional problem in 1904 while investigating the topology of manifolds.

• Ergodic theoryRelated: His recurrence theorem became an early cornerstone of ergodic reasoning.

• International Congress of MathematiciansRelated: Poincaré was among the prominent mathematicians who attended the inaugural congress.

• Paris ObservatoryRelated: His early career included work at the Paris Observatory’s Bureau des longitudes.

• Charles HermiteRelated: Poincaré was among the leading mathematicians shaped by the French mathematical tradition Hermite represented.

• Differential topologyRelated: His foundational questions about manifolds helped shape the subject's topological ambitions.

• Exponential generating functionRelated: Poincaré helped develop systematic methods of generating functions in combinatorial enumeration.

• Pierre DuhemRelated: Poincaré and Duhem both examined how mathematical structures shape physical science.

• CohomologyRelated: His study of manifolds and duality helped create the problems cohomology later organized.

• Émile PicardRelated: Picard and Poincaré were leading contemporaries in French mathematics.

• Euler's polyhedron formulaRelated: Poincaré extended the alternating-count idea into a systematic topological invariant.

• Grigori PerelmanRelated: The conjecture Perelman resolved bears Poincaré’s name and originated in his study of three-dimensional spaces.

• Poincaré lemmaRelated: The lemma bears his name and reflects his foundational work in topology.

• Poincaré–Hopf theoremRelated: Poincaré developed early forms of the relation between vector-field indices and topology.

• Integrable systemRelated: His work on the three-body problem exposed limits of classical integrability.

• Jean PerrinRelated: Poincaré’s changing views reflected the debate Perrin’s measurements helped settle.

• Atiyah–Singer index theoremRelated: The theorem's topological perspective builds on the broader tradition of topological invariants.

• Dynamical systems theoryRelated: His study of celestial mechanics introduced tools central to modern dynamics.

• George David BirkhoffRelated: Poincaré’s qualitative dynamics and fixed-point ideas formed important precedents for Birkhoff.

• General topologyRelated: His foundational work connected spatial questions to the emerging language of topology.

• Liouville–Arnold theoremRelated: His research on celestial mechanics helped establish the broader context of integrability and perturbation.

• Montel's theoremRelated: Poincaré's work helped shape the analytic setting in which normal-family methods developed.

• Poincaré dualityRelated: His work on analysis situs established the ideas behind manifold duality.

• Poincaré groupRelated: His name became attached to the spacetime symmetry group associated with Lorentz transformations and translations.

• Hairy ball theoremRelated: His work on vector-field indices underlies a standard proof of the theorem.

• History of special relativityRelated: His work brought the mathematics and principle of relativity close to Einstein’s formulation.

• Invariance of domainRelated: His development of topological methods formed part of the mathematical setting in which Brouwer worked.

• Theory of relativityRelated: His contemporary work developed ideas relevant to special relativity's mathematical foundations.

• Vladimir ArnoldNarrower topic: Arnold revived and extended Poincaré’s qualitative approach to mechanics and dynamics.

• Aleksandr LyapunovCompared with: Poincaré developed complementary geometric approaches to stability and dynamical behavior.

• Bendixson–Dulac theoremRelated: His phase-space approach provides the broader setting for planar orbit criteria.

• Gösta Mittag-LefflerRelated: He was among the prominent mathematicians whose work appeared in Acta Mathematica.