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The prime decomposition theorem for 3-manifolds states that every compact, orientable 3-manifold is the connected sum of a unique (up to homeomorphism) collection of prime 3-manifolds. A manifold is prime if it cannot be presented as a connected sum of more than one manifold, none of which is the sphere of the same dimension.
In particular if the surgery coefficient is of the form /, then the surgered 3-manifold is still the 3-sphere. If M {\displaystyle M} is the 3-sphere, L {\displaystyle L} is the right-handed trefoil knot , and the surgery coefficient is + 1 {\displaystyle +1} , then the surgered 3-manifold is the Poincaré dodecahedral space .
CEN ISO/IEEE 11073 Health informatics - Medical / health device communication standards enable communication between medical, health care and wellness devices and external computer systems. They provide automatic and detailed electronic data capture of client-related and vital signs information , and of device operational data.
ISO 13926-2:2011 Part 2: Plunger stoppers for pen-injectors for medical use; ISO 13926-3:2012 Part 3: Seals for pen-injectors for medical use; ISO 13940:2015 Health informatics – System of concepts to support continuity of care; ISO 13943:2017 Fire safety - Vocabulary; ISO 13958:2014 Concentrates for haemodialysis and related therapies
Health information management's standards history is dated back to the introduction of the American Health Information Management Association, founded in 1928 "when the American College of Surgeons established the Association of Record Librarians of North America (ARLNA) to 'elevate the standards of clinical records in hospitals and other medical institutions.'" [3]
A paper of Kobayashi (2001) classifies the Heegaard splittings of hyperbolic three-manifolds which are two-bridge knot complements. Computational methods can be used to determine or approximate the Heegaard genus of a 3-manifold. John Berge's software Heegaard studies Heegaard splittings generated by the fundamental group of a manifold.
Familiar examples of two-dimensional manifolds include the sphere, torus, and Klein bottle; this book concentrates on three-dimensional manifolds, and on two-dimensional surfaces within them. A particular focus is a Heegaard splitting, a two-dimensional surface that partitions a 3-manifold into two handlebodies. It aims to present the main ...
In mathematics, a spherical 3-manifold M is a 3-manifold of the form = / where is a finite subgroup of O(4) acting freely by rotations on the 3-sphere. All such manifolds are prime, orientable, and closed. Spherical 3-manifolds are sometimes called elliptic 3-manifolds.