Analysis Situs.¶
Poincaré, H. (1895). Analysis Situs. Journal de l'École Polytechnique, 1-121.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Invariance
- … finer level of raw configurations, and this descent is the mechanism by which symmetries generate conservation laws (Noether's theorem gives the continuous-group version — each continuous symmetry of the action corresponds to a conserved quantity), topological invariants (genus, Euler characteristic, homotopy class
This sourceLaunched algebraic topology by defining homology and homotopy invariants. Extended in five "Compléments à l'Analysis Situs" (1899–1904); the Poincaré conjecture appears in the fifth complement (1904). Historical survey: Dieudonné, A History of Algebraic and Differential Topology, 1900–1960 (Birkhäuser, 1989).
- … finer level of raw configurations, and this descent is the mechanism by which symmetries generate conservation laws (Noether's theorem gives the continuous-group version — each continuous symmetry of the action corresponds to a conserved quantity), topological invariants (genus, Euler characteristic, homotopy class
- Topology
- The recognised birth of topology as a distinct discipline is Henri Poincaré's Analysis Situs (1895) and its supplements,
This sourceLaunched algebraic topology by defining homology and homotopy invariants. Extended in five "Compléments à l'Analysis Situs" (1899–1904); the Poincaré conjecture appears in the fifth complement (1904). Historical survey: Dieudonné, A History of Algebraic and Differential Topology, 1900–1960 (Birkhäuser, 1989).
- The recognised birth of topology as a distinct discipline is Henri Poincaré's Analysis Situs (1895) and its supplements,
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