اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدStructure and Interleavings of Relative Interlevel Set Cohomology
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The relative interlevel set cohomology (RISC) is an invariant of real-valued continuous functions closely related to the Mayer--Vietoris pyramid introduced by Carlsson, de Silva, and Morozov. We provide a structure theorem, which applies to the RISC if it is pointwise finite dimensional (pfd) or, equivalently, $q$-tame. Moreover, we provide the notion of an interleaving for RISC and we show that it is stable in the sense that any space with two functions that are $delta$-close induces a $delta$-interleaving of the corresponding relative interlevel set cohomologies.
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