منابع مشابه
Stratifications of cellular patterns
Geometrically, foams or covalent graphs can be decomposed into successive layers or strata. Disorder of the underlying structure imposes a characteristic roughening of the layers. Our main results are hysteresis and convergence in the layer sequences. 1) If the direction of construction is reversed, the layers are different in the up and down sequences (irreversibility); nevertheless, under sui...
متن کاملExamples of exotic stratifications
We produce examples of manifold stratified pairs in which the lower strata do not have neighborhoods that are mapping cylinders of fiber bundles, or even block bundles. Moreover, the examples do not improve in this regard under stabilization by products with tori. The examples are locally conelike and the lower strata do have neighborhoods which are mapping cylinders of manifold approximate fib...
متن کاملStratifications of mapping cylinders
We characterize those maps between homotopically stratified spaces whose mapping cylinders are also homotopically stratified spaces. Two applications are offered. The first concerns locally flat submanifolds of topological manifolds, and the second concerns algebraic maps between algebraic varieties. 1999 Elsevier Science B.V. All rights reserved.
متن کاملStratifications in Valued Fields
In these notes, I present a new, strong notion of stratifications which describe singularities of sets in Henselian valued fields. In the first part, I give the definition, some examples, and I state the main result about their existence; in the second part, I explain how such a stratification in a valued field induces a classical Whitney stratification in R.
متن کاملSubanalytic Stratifications and Bisimulations
Decidability results for the veriication of hybrid systems consist of constructing special nite state quotients called bisimulations whose properties are equivalent to those of the original innnite state system. This approach has had success in the case of timed automata and linear hybrid automata. In this paper, the powerful framework of stratiication theory and subanalytic sets is presented a...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 2010
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.2136