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Contrasting Symmetric Porosity and Porosity
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M. J. Evans
Veröffentlicht/Copyright:
4. Juni 2010
Abstract
It is known that the following two fundamental properties of porosity fail for symmetric porosity: 1) Every nowhere dense set A contains a residual subset of points x at which A has porosity 1. 2) If A is a porous set and 0 < p < 1, then A can be written as a countable union of sets, each of which has porosity at least p at each of its points. Here we explore the somewhat surprising extent to which these properties fail to carry over to the symmetric setting and investigate what symmetric analogs do hold.
Key words and phrases.: Symmetric porosity; porosity
Received: 1996-12-16
Revised: 1997-08-14
Published Online: 2010-06-04
Published in Print: 1998-June
© Heldermann Verlag
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- Contrasting Symmetric Porosity and Porosity
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- New Existence Theorems for Solutions of Generalized Quasi–Variational Inequalities
- Oscillatory Properties of the Solutions of Impulsive Differential Equations with Retarded Argument and Oscillating Coefficients
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Artikel in diesem Heft
- The Lifting Problem with the Full Ideal
- Contrasting Symmetric Porosity and Porosity
- Some Additive Darboux–Like Functions
- New Existence Theorems for Solutions of Generalized Quasi–Variational Inequalities
- Oscillatory Properties of the Solutions of Impulsive Differential Equations with Retarded Argument and Oscillating Coefficients
- Set–Valued Implicit Wiener-Hopf Equations and Generalized Strongly Nonlinear Quasivariational Inequalities
- Selfgravitating Electrodynamic Stability of a Fluid-Tar Annular Jet Pervaded by Periodic Time Dependet Electric Field
- The Cauchy Problem for the Einstein–Vlasov System
- The Cauchy Problem for the Einstein–Boltzmann System
