{"id": "card_chain_poincare_1904", "kind": "reference", "title": "Poincaré 1904 — Cinquième complément à l'analysis situs", "body": "H. Poincaré (1904). Cinquième complément à l'analysis situs. Rend. Circ. Mat. Palermo 18 (1904) 45–110. DOI 10.1007/BF03014091. Canonical: https://doi.org/10.1007/BF03014091. Cited by its record. License as found: public domain (the author died more than a century ago, or the work was published before 1930). What it gave the chain: the homology sphere that is not a sphere, and the question: is a simply connected closed 3-manifold the sphere?.", "source": {"label": "H. Poincaré (1904), Rend. Circ. Mat. Palermo 18 (1904) 45–110", "url": "https://doi.org/10.1007/BF03014091", "domain": "mathematics", "authority_tier": "reference"}, "shelf": "codex", "box": "chain", "bands": ["chain", "record", "1904", "poincaré", "mathematics"], "subject": "Cinquième complément à l'analysis situs", "connections": [{"to_card_id": "card_floor_poincare", "relationship": "part_of", "evidence": "a root of this chain - one of the two trees it began from"}, {"to_card_id": "card_chain_thurston_1982", "relationship": "enables", "evidence": "the geometrization conjecture: every closed 3-manifold is cut into eight geometries - Poincaré is a corollary"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.chain", "facets": {"subject": ["1904", "mathematics", "poincaré", "record"]}, "presentation": {"glyph": "•", "kind_label": "chain", "by": "H. Poincaré (1904), Rend. Circ. Mat. Palermo 18 (1904) 45–110", "authority": "reference", "posted": "", "standing": "", "link": {"url": "https://doi.org/10.1007/BF03014091", "host": "doi.org", "provider": "", "titled": "Poincaré 1904 — Cinquième complément à l'analysis situs", "waybill_line": "", "reach": "", "embed": ""}}, "neighbors": [{"id": "card_floor_poincare", "title": "The Poincare chain - from the homology sphere and the heat flow to the closed question", "relationship": "part of", "why": "a root of this chain - one of the two trees it began from", "href": "/card/card_floor_poincare", "resolved": true}, {"id": "card_chain_thurston_1982", "title": "Thurston 1982 — Three dimensional manifolds, Kleinian groups and hyperbolic geometry", "relationship": "enables", "why": "the geometrization conjecture: every closed 3-manifold is cut into eight geometries - Poincaré is a corollary", "href": "/card/card_chain_thurston_1982", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_chain_poincare_1904", "next_step": {"do": "read the source itself", "door": "FIND", "web": "/reader.html?card=card_chain_poincare_1904"}, "ends": "a verdict or a card · the trail · a seal · one next step"}}