… out that persistent homology can be used to determine whether a homology class is U-local.
We also obtain an algorithm for generating a homology basis that is localized with respect to …

… aware of Bousfield's work on localization with respect to generalized homology, the relevant
portions of which are described in section 1. For each generalized homology theory E*, …

… topological features can be localized and reveal geometric features of the original shape [4]. …
the localization problem, namely, finding the smallest representative cycle of a homology …

… ’s localization sequences to topological Hochschild homology (THH) and topological cyclic
homology (… Roughly, topological Hochschild homology for a ring is obtained by promoting the …

… with respect to a homology theory by using … homology theory F,(—; Zp) is the localization
of X at P in the sense of Sullivan. Using this, the Kan extension of the restriction of a homology …

… -localization of a virtually nilpotent group is again virtually nilpotent (Theorem 3-3). Thus P-localization …
to analyse the behaviour of integral homology under P-localization in the class of …

… homology functors of Greenlees and May in the same way ordinary support relates to local
cohomology. By expressing local homology in … We also investigate the co-localization functor …

… The purpose of this paper is to give a new description of the R-homology localization XR of
a space X [1]. The main ingredient is an inverse limit construction for XR (complementary to …

… Problem 1: Localization. In the companion paper [7], we localized each class in the optimal
homology basis with its localized-cycle, which is the representative cycle carried by the …

… To date, we only know the subcellular localization of about 6,000 proteins that are … This
article presents AtSubP (for Arabidopsis subcellular localization predictor), an integrative system …