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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

Equivariant R-Test Configurations and Semistable Limits of Q-Fano Group Compactifications: 《Peking Mathematical Journal》2023年第2期559-607,共49页Yan Li Zhenye Li; Let G be a connected,complex reductive group.In this paper,we classify G×G equivariant normal R-test configurations of a polarized G-compactification.Then,for Q-Fano G-compactifications,we express the H-invariants of...; 关键词：Kähler-Ricci solitons Kähler-Ricci flow Q-Fano compactifications K-stability

An Expository on Some Nonstandard Compactifications: 《Advances in Pure Mathematics》2021年第10期807-815,共9页Alagu Somasundaram Rukhmoni Kala; Three classical compactification procedures are presented with nonstandard flavour. This is to illustrate the applicability of Nonstandard analytic tool to beginners interested in Nonstandard analytic methods. The gen...; 关键词：Non-Standard COMPACTIFICATION Completely Regular Space Locally Compact Hausdorff Space Locally Compact Abelian Group

A Modified Wallman Method of Compactification: 《Advances in Pure Mathematics》2013年第6期590-597,共8页Hueytzen J.Wu Wan-Hong Wu; Closed and basic closed C*D-filters are used in a process similar to Wallman method for compactifications of the topological spaces Y, of which, there is a subset of C*(Y) containing a non-constant function, where C*(...; 关键词：Closed █_(x)-Filter Open and Closed C^(*)_(D)-Filter Bases Basic Open and Closed C^(*)_(D)-Filters COMPACTIFICATION Stone-Cech and Wallman Compactifications

Resolvable Spaces and Compactifications: 《Advances in Pure Mathematics》2013年第3期365-367,共3页Monerah Al-Hajri Karim Belaid; This paper deals with spaces such that their compactification is a resolvable space. A characterization of space such that its one point compactification (resp. Wallman compactification) is a resolvable space is given.; 关键词：RESOLVABLE SPACE Alexandroff COMPACTIFICATION Wallman COMPACTIFICATION

A&zeta;x- and Open CD*-Filters Process of Compactifications and Any Hausdorff Compactification: 《Advances in Pure Mathematics》2012年第4期296-300,共5页Hueytzen J. Wu Wan-Hong Wu; By means of a characterization of compact spaces in terms of open CD*-filters induced by a , a - and open CD*-filters process of compactifications of an arbitrary topological space Y is obtained in Sec. 3 by embedding...; 关键词：Net OPEN FILTER OPEN CD*-Filter Base Basic OPEN CD*-Filter OPEN CD*-Filter -Filter x-Filter Tychonoff Space Normal T1-Space Compact Space COMPACTIFICATIONS Stone-Cech COMPACTIFICATION Wallman COMPACTIFICATION

On the Inverse Limit of Higson Compactifications被引量：1: 《Northeastern Mathematical Journal》2002年第2期95-98,共4页曹阳孙以丰; The NSF (19901011) of China.; Higson have introduced the conception of "Higson’s corona" (see [1]). For a given metric space X, it is a kind of compactification of X related to the metric d on it. Denote by BR(X) the set {y ∈ X\d(x,y) < R}. Reca...; 关键词：Stone-Cech corapactification Higson compactification coarse equivalent

COMPACTIFICATIONS OF BANACH SPACES AND CONSTRUCTION OF DIFFUSION PROCESSES: 《Acta Mathematicae Applicatae Sinica》1994年第3期225-226,227228+229-2,共7页宋士奇; Let E be a separable Banach space and μ be a probability measure on E. We consider Dirichlet forms εon L2(E,m).A special compactification MГ of E is studied in order to give a simple sufficient condition which ensu...; 关键词：Banach space compactification Dirichlet form caparity diffusion process

PREORDER RELATIONS IN FUZZY COMPACTIFICATIONS被引量：1: 《Chinese Science Bulletin》1989年第9期705-709,共5页刘应明罗懋康; Project supported partly by the National Natural Science Foundation of Chins.; We have proved that L-fuzzy unit interval I(L) is N-compact, and then applying fuzzy imbedding theory to the general case that the value domain is; 关键词：PREORDER FUZZY COMPACTIFICATION WEAK T SPACES

FUZZY STONE-ECH COMPACTIFICATIONS AND THE LARGEST TYCHONOFF COMPACTIFICATIONS^(**)被引量：1: 《Chinese Annals of Mathematics,Series B》1989年第1期74-84,共11页刘应明罗懋康; Using the imbedding theory^[6] and the N-compactness of L-fuzzy unit interval^[10], the authors establish the Stone-ech compactification theory of Tychonoff spaces. As well known, the Stone-ech com...; 关键词：topology FUZZY Boolean establishing helpful ARGUMENT neighborhood COMPACTNESS verify quasi

COMPACTIFICATIONS