CRUE
发表于 2025-3-30 11:15:58
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CURB
发表于 2025-3-30 15:18:38
Charmi Panchal,Sepinoud Azimi,Ion PetreIt took about 30 years to construct a theory of homology applicable to curvilinear “polyhedra,” embodying all the ideas of Poincaré and entirely rigorous. In a period in which the number of professional mathematicians was definitely on the increase, it is surprising that this new field of research at first attracted so few people.
博识
发表于 2025-3-30 20:14:50
Agnieszka Mykowiecka,Pawel GóreckiWe have seen (chap. I, §2) that Poincaré already had a conception of .-dimensional manifolds of class C. (. integer ≥ 1 or ∞) and of analytic manifolds (sometimes called C. manifolds) which was essentially the modern one.
neutral-posture
发表于 2025-3-30 20:56:02
T. M. Rezwanul Islam,Ian McQuillanI have gathered in Part 2 various results to homology which do not use homotopy theory; most of them were discovered prior to its creation. I think it is better do dissociate them form the foundational material described in Part 1, where they would have disgressed form the main themes.
Inordinate
发表于 2025-3-31 01:18:47
Algorithms for Computational BiologyIn this chapter I gather miscellaneous results and techniques related to homology, in all of which the concept of . plays a more or less important part. Many of the constructions described were invented for their use in homotopy theory, leading to major results in that theory (see Part 3).
壕沟
发表于 2025-3-31 08:34:42
MULKSG: ,tiple , ,imultaneous ,raph AssemblyAlgebraic geometry and algebraic topology have been linked from the beginning, since the first topological invariant, the genus of a compact Riemann surface, was introduced by Riemann in his path-breaking study of abelian integrals. His successors extended the use of similar notions to the theory of modular and automorphic functions.
perpetual
发表于 2025-3-31 12:00:11
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