$$0^{\#}$$ 0 # and Jensen’s Covering Lemma

2014 ◽  
pp. 235-278
Author(s):  
Ralf Schindler
Keyword(s):  
Covering Lemma

Powers of the ideal of Lebesgue measure zero sets

1991 ◽  
Vol 56 (1) ◽  
pp. 103-107
Author(s):  
Maxim R. Burke
Keyword(s):  
Partial Order ◽  
Lebesgue Measure ◽  
Regular Cardinal ◽  
Measure Zero ◽  
Lebesgue Measure Zero ◽  
Zero Sets ◽  
Covering Lemma ◽  
Inner Model ◽  
The Ideal

AbstractWe investigate the cofinality of the partial order κ of functions from a regular cardinal κ into the ideal of Lebesgue measure zero subsets of R. We show that when add () = κ and the covering lemma holds with respect to an inner model of GCH, then cf (κ) = max{cf(κκ), cf([cf()]κ)}. We also give an example to show that the covering assumption cannot be removed.

On the critical dimensions of product odometers

2009 ◽  
Vol 29 (2) ◽  
pp. 475-485 ◽  
Author(s):  
ANTHONY H. DOOLEY ◽  
GENEVIEVE MORTISS
Keyword(s):  
Critical Dimension ◽  
Order Of Growth ◽  
Critical Dimensions ◽  
Covering Lemma ◽  
Singular Action ◽  
Metric Isomorphism

AbstractMortiss introduced the notion of critical dimension of a non-singular action, a measure of the order of growth of sums of Radon derivatives. The critical dimension was shown to be an invariant of metric isomorphism; this invariant was calculated for two-point product odometers and shown to coincide, in certain cases, with the average coordinate entropy. In this paper we extend the theory to apply to all product odometers, introduce upper and lower critical dimensions, and prove a Katok-type covering lemma.

scholarly journals The covering lemma for L[U]

1982 ◽  
Vol 22 (2) ◽  
pp. 127-135 ◽  
Author(s):  
A.J. Dodd ◽  
R.B. Jensen
Keyword(s):  
Covering Lemma

scholarly journals The covering lemma for K

1982 ◽  
Vol 22 (1) ◽  
pp. 1-30 ◽  
Author(s):  
Tony Dodd ◽  
Ronald Jensen
Keyword(s):  
Covering Lemma

DIVERGENCE FORM PARABOLIC EQUATIONS ON TIME-DEPENDENT QUASICONVEX DOMAINS

2012 ◽  
Vol 23 (12) ◽  
pp. 1250128 ◽  
Author(s):  
HUILIAN JIA ◽  
LIHE WANG
Keyword(s):  
Parabolic Equations ◽  
A Priori Estimates ◽  
A Priori ◽  
Divergence Form ◽  
Time Dependent ◽  
Function Technique ◽  
Parabolic Boundary ◽  
Covering Lemma ◽  
Priori Estimates ◽  
Reifenberg Flat

In this paper, we show the [Formula: see text] regularity of divergence form parabolic equations on time-dependent quasiconvex domains. The objective is to study the optimal parabolic boundary condition for the Lp estimates. The time-dependent quasiconvex domain is a generalization of the time-dependent Reifenberg flat domain, and assesses some properties analog to the convex domain. As to the a priori estimates near the boundary, we will apply the maximal function technique, Vitali covering lemma and the compactness method.

A New Proof of Lebesgue's Covering Lemma

1967 ◽  
Vol 74 (8) ◽  
pp. 990
Author(s):  
John Hunt
Keyword(s):  
Covering Lemma
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