نتایج جستجو برای: homology
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We introduce several geometric notions, including the width of a homology class, to theory persistent homology. These ideas provide interpretations persistence diagrams. Indeed, we give quantitative and descriptions “life span” or “persistence” class. As case study, analyze power filtration on unweighted graphs explicit bounds for life spans classes in diagrams all dimensions.
The ?ech and Rips constructions of persistent homology are stable with respect to perturbations the input data. However, neither is robust outliers, both can be insensitive topological structure high-density regions A natural solution consider 2-parameter persistence. This paper studies stability homology: we show that several related density-sensitive bifiltrations from data satisfy properties...
Persistent homology is typically computed through persistent cohomology. While this generally improves the running time significantly, it does not facilitate extraction of representatives. The mentioned representatives are geometric manifestations corresponding holes and often carry desirable information.We propose a new method using In summary, we first compute cohomology use obtained informat...
Background and Objective: Antibody against Pseudomonas aeruginosa exotoxin A can be used in immunotherapy together with antibiotics to treat acute burn patients. Exotoxin A is one of the virulence factors in Pseudomonas aeruginosa that comprises of three domains, binding domain, translocation and catalytic domain. The purpose of this study was to produce recombinant domain of the catalytic part...
Tate local cohomology and Gorenstein theory, which are important generalizations of the classical cohomology, has been investigated. It found that they have such vanishing properties long exact sequences. However, for homology, what about duality? In this paper we concerned with homology homology. first part generalize as study properties, artinianness some sequence modules. We find an artiania...
We consider the following question: If a simplicial complex $$\Gamma $$ has d-homology, then does corresponding d-cycle always induce cycles of smaller dimension that are not boundaries? provide an answer to this question in fixed dimension. use breaking homology show subadditivity property for maximal degrees syzygies monomial ideals homological degree.
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