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FUNCTOR: 作品数：43被引量：7H指数：2; 导出分析报告; 相关作者：宋传宁陈泽乾王春华潘庆年邬振明更多>>; 相关机构：东北师范大学上海水产大学中国科学院上海师范大学更多>>; 相关期刊：《Science Bulletin》《Optoelectronics Letters》《Journal of Mathematical Research with Applications》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金北京市自然科学基金天津市自然科学基金更多>>

On Some Cardinal Properties of the Space P_(f)(X) of Probability Measures: 《Communications in Mathematical Research》2024年第4期383-399,共17页Shavkat Ayupov Nodirbek Mamadaliev; In this paper,given a compact space X,we construct a continuous mapping from the space Pf(X) of all probability measures on X into the space of maximal linked systems of closed subsets of X.Also,we investigate the beh...; 关键词：Probability measure functional tightness local density normal functor su-perextension.

A Weak∞-Functor in Morse Theory: 《Acta Mathematica Sinica,English Series》2024年第11期2571-2614,共44页Shan Zhong SUN Chen Xi WANG; Supported by National Key R&D Program of China(Grant No.2020YFA0713300);NSFC(Grant Nos.11771303,12171327,11911530092,11871045)。; In the spirit of Morse homology initiated by Witten and Floer,we construct two∞-categories A and B.The weak one A comes out of the Morse-Smale pairs and their higher homotopies,and the strict one B concerns the chain...; 关键词：Morse function moduli space of gradient flow lines COMPACTIFICATIONS weak n/∞-category higher morphism HOMOTOPY

The tensor embedding for a Grothendieck cosmos: 《Science China Mathematics》2023年第11期2471-2494,共24页Henrik Holm Sinem Odabasi; supported by CONICYT/FONDECYT/INICIACIOóN(Grant No.11170394)。; While the Yoneda embedding and its generalizations have been studied extensively in the literature,the so-called tensor embedding has only received a little attention.In this paper,we study the tensor embedding for cl...; 关键词：enriched functor exact category (pre)envelope (pure)injective object purity symmetric monoidal category tensor embedding Yoneda embedding

Langton's Type Theorem on Algebraic Orbifolds: 《Acta Mathematica Sinica,English Series》2023年第4期584-602,共19页Yong Hong HUANG; Supported by the Fundamental Research Funds for the Central Universities,Sun Yat-sen University (Grant No.34000-31610293)。; In this paper,we prove the Langton’s type theorem on separatedness and properness for the moduli functor of torsion free semistable sheaves on algebraic orbifolds over an algebraically closed field k.; 关键词：Algebraic orbifolds moduli functor torsion free sheaves separatedness and properness

On the Homology of the Dual de Rham Complex: 《Acta Mathematica Sinica,English Series》2022年第10期1666-1676,共11页Roman MIKHAILOV; supported by the grant of the Government of the Russian Federation for the state support of scientific research carried out under the supervision of leading scientists;agreement 14.W03.31.0030 dated 15.02.2018.1。; We study the homology of the dual de Rham complex as functors on the category of abelian groups.We give a description of homology of the dual de Rham complex up to degree 7 for free abelian groups and present a correc...; 关键词：Dual de Rham complex polynomial functor divided powers derived functors

A Note on Critical p-adic L-functions: 《Acta Mathematica Sinica,English Series》2021年第1期121-141,共21页Yi Wen DING; EPSRC(Grant No.EP/L025485/1)and(Grant No.7101500268)from Peking University。; We study the adjunction property of the Jacquet–Emerton functor in certain neighborhoods of critical points in the eigencurve.As an application,we construct two-variable p-adic L-functions around critical points via ...; 关键词：p-adic L-function eigencurve critical p-stabilization Jacquet–Emerton functor

Categories and Weak Equivalences of Graded Algebras: 《Algebra Colloquium》2019年第4期643-664,共22页Alexey Gordienko Ofir Schnabel James Zhang; supported by Fonds Wetenschappelijk Onderzoek—Vlaanderen post doctoral fellowship(Belgium);supported by the Israel Science Foundation(grant No.1516/16).; In the study of the structure of graded algebras(such as graded ideals,graded subspaces,and radicals)or graded polynomial identities,the grading group can be replaced by any other group that realizes the same grading....; 关键词：ALGEBRA GRADING adjoint functor oplax 2-functor (co)limit

Half Exact Functors Associated with Cotorsion Pairs on Exact Categories: 《Acta Mathematica Sinica,English Series》2019年第8期1334-1356,共23页Yu LIU; Supported by Fundamental Research Funds for the Central Universities(Grant No.2682018ZT25); In the previous article "Hearts of twin cotorsion pairs on exact categories. J. Algebra, 394,245–284(2013)", we introduced the notion of the heart for any cotorsion pair on an exact category with enough projectives a...; 关键词：Cotorsion pair heart HALF EXACT FUNCTOR EQUIVALENCE

On a Generalized Matrix Algebra over Frobenius Algebra: 《Communications in Mathematical Research》2019年第1期65-74,共10页Xu Qing-bing Zhang Kong-sheng Du Xian-kun; The NSF(KJ2016A545,1808085MA14,KJ2018A0839) of Anhui Province; Let A be a Frobenius k-algebra. The matrix algebra R =(■) is called a generalized matrix algebra over a Frobenius algebra A. In this paper we show that R is also a Frobenius algebra.; 关键词：FROBENIUS ALGEBRA GENERALIZED MATRIX ALGEBRA DUAL FUNCTOR

On generalized symmetries and structure of modular categories: 《Science China Mathematics》2019年第3期417-446,共30页Shawn Xingshan Cui Modjtaba Shokrian Zini Zhenghan Wang; supported by the Simons Foundation;supported by National Science Foundation of USA (Grants Nos. DMS-1411212 and FRG-1664351); Pursuing a generalization of group symmetries of modular categories to category symmetries in topological phases of matter, we study linear Hopf monads. The main goal is a generalization of extension and gauging group...; 关键词：MODULAR CATEGORY CATEGORY symmetry HOPF MONAD tensor FUNCTOR

FUNCTOR