{"id": "card_src_mill_cao_zhu_2006", "kind": "reference", "title": "H.-D. Cao 2006 — A complete proof of the Poincaré and geometrization conjectures — application of the Hamilton-Perelman theory of the Ricci flow", "body": "H.-D. Cao, X.-P. Zhu (2006). A complete proof of the Poincaré and geometrization conjectures — application of the Hamilton-Perelman theory of the Ricci flow. Asian J. Math. 10 (2006) 165–492. DOI 10.4310/AJM.2006.v10.n2.a2. arXiv: math/0612069 (the revised version). Canonical: https://doi.org/10.4310/AJM.2006.v10.n2.a2. Free copy: https://arxiv.org/abs/math/0612069. License as found: no license field in the Crossref record; Asian Journal of Mathematics — cited; the arXiv copy is free. Serves the Poincare stick (stick_poincare_conjecture): the third write-up — a receipt of the proof — fills the want want_96d3c27cb7a8.", "source": {"label": "H.-D. Cao, X.-P. Zhu (2006), Asian J. Math. 10 (2006) 165–492", "url": "https://doi.org/10.4310/AJM.2006.v10.n2.a2", "domain": "mathematics", "authority_tier": "reference"}, "shelf": "millennium", "box": "source", "bands": ["poincare", "millennium", "source", "paper", "cao", "2006", "poincare"], "subject": "A complete proof of the Poincaré and geometrization conjectures — application of the Hamilton-Perelman theory of the Ricci flow", "connections": [{"to_card_id": "card_spine_millennium_sources", "relationship": "member_of", "evidence": "a source the Poincare stick (stick_poincare_conjecture) cites, located for a want and carded by its record"}, {"to_card_id": "card_src_mill_perelman_2003b", "relationship": "builds_on", "evidence": "a later work standing on an earlier one"}, {"to_card_id": "card_question_poincare", "relationship": "enables", "evidence": "a later work standing on an earlier one"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "millennium.h.hd.h_d_cao_2006_a_complete_proof_of_the_poincare_an", "facets": {"subject": ["2006", "cao", "millennium", "paper", "poincare"]}, "presentation": {"glyph": "•", "kind_label": "source", "by": "H.-D. Cao, X.-P. Zhu (2006), Asian J. Math. 10 (2006) 165–492", "authority": "reference", "posted": "", "standing": "", "link": {"url": "https://doi.org/10.4310/AJM.2006.v10.n2.a2", "host": "doi.org", "provider": "", "titled": "H.-D. Cao 2006 — A complete proof of the Poincaré and geometrization conjectures — application of the Hamilton-Perelman theory of the Ricci flow", "waybill_line": "", "reach": "", "embed": ""}}, "neighbors": [{"id": "card_spine_millennium_sources", "title": "The Millennium sources — the papers behind the seven sticks", "relationship": "on the shelf of", "why": "a source the Poincare stick (stick_poincare_conjecture) cites, located for a want and carded by its record", "href": "/card/card_spine_millennium_sources", "resolved": true}, {"id": "card_src_mill_perelman_2003b", "title": "G. Perelman 2003 — Finite extinction time for the solutions to the Ricci flow on certain three-manifolds", "relationship": "builds on", "why": "a later work standing on an earlier one", "href": "/card/card_src_mill_perelman_2003b", "resolved": true}, {"id": "card_question_poincare", "title": "The Poincare conjecture", "relationship": "enables", "why": "a later work standing on an earlier one", "href": "/card/card_question_poincare", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_src_mill_cao_zhu_2006", "next_step": {"do": "read the source itself", "door": "FIND", "web": "/reader.html?card=card_src_mill_cao_zhu_2006"}, "ends": "a verdict or a card · the trail · a seal · one next step"}}