منابع مشابه
Homology and Images of Semianalytic Sets
The homology of semianalytic sets may be treated using chains which are themselves locally-finite integral combinations of disjoint, oriented semianalytic submanifolds. The analytic image of a relatively compact semianalytic set, though not necessarily semianalytic, admits a finite stratification into connected analytic submanifolds of various dimensions. A subset A of a (real) analytic manifol...
متن کاملThe finiteness property and Lojasiewicz inequality for global semianalytic sets
We prove a Lojasiewicz inequality for global semianalytic sets that implies the usual Hörmander’s form. Some consequences are deduced on the finiteness property and separation for global semianalytic sets. A.M.S. Subject Classification: 03C64, 12D15
متن کاملParameterized Stratification and Piece Number of D-semianalytic Sets
We obtain results on the geometry of D-semianalytic and subanalytic sets over a complete, non-trivially valued non-Archimedean field K, which is not necessarily algebraically closed. Among the results are the Parameterized Smooth Stratification Theorem and several results concerning the dimension theory of D-semianalytic and subanalytic sets. Also, an extension of Bartenwerfer’s definition of p...
متن کاملAttentional capture by globally defined objects.
The abrupt appearance of a new perceptual object in the visual field typically captures visual attention. However, if attention is focused in advance on a different location, onsets can fail to capture attention (Yantis & Jonides, 1990). In the present experiments, we investigated the extent to which the deployment of attention to the local level of a hierarchical scene may be affected by the a...
متن کاملOn topologies defined by irreducible sets
In this paper, we define and study a new topology constructed from any given topology on a set, using irreducible sets. The manner in which this derived topology is obtained is inspired by how the Scott topology on a poset is constructed from its Alexandroff topology. This derived topology leads us to a weak notion of sobriety called k-bounded sobriety. We investigate the properties of this der...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2015
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-015-1342-5