Contrasting symmetric porosity and porosity

• Autorzy: Evans, M. J. , Humke, P. D.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

PL

porowatość symetryczna; porowatość

EN

symmetric porosity; porosity

• Czasopismo: Journal of Applied Analysis
• Rocznik: 1998
• Tom: Vol. 4, nr 1
• Strony: 19-41
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Evans, M. J.

autor

Humke, P. D.

• Department of Mathematics Washington and Lee University Lexington, Virginia 24450 USA,