Displaying similar documents to “Examples of ε-exhaustive pathological submeasures”

On submeasures I

I. Dobrakoy

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CONTENTSIntroduction....................................................................................... 5§ 1. On submeasures.................................................................... 6§ 2. Extension of submeasures................................................... 21§ 3. Extension of subcontents....................................................... 27References....................................................................................... 35

A Čech function in ZFC

Fred Galvin, Petr Simon (2007)

Fundamenta Mathematicae

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A nontrivial surjective Čech closure function is constructed in ZFC.

PROBLEMS

M. Chrobak, M. Habib, P. John, H. Sachs, H. Zernitz, J. R. Reay, G. Sierksma, M. M. Sysło, T. Traczyk, W. Wessel (1987)

Applicationes Mathematicae

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Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix. A matrix generalization of Leung's domination result.

Heinz Neudecker (2004)

SORT

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The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung's but generalized to a matrix loss function. Parallelly Leung's scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of Löwner partial ordering of symmetric matrices is used.

Fat P-sets in the Space ω*

Ryszard Frankiewicz, Magdalena Grzech, Paweł Zbierski (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

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We prove that-consistently-in the space ω* there are no P-sets with the ℂ-cc and any two fat P-sets with the ℂ⁺-cc are coabsolute.

Some 2-point sets

James H. Schmerl (2010)

Fundamenta Mathematicae

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Chad, Knight & Suabedissen [Fund. Math. 203 (2009)] recently proved, assuming CH, that there is a 2-point set included in the union of countably many concentric circles. This result is obtained here without any additional set-theoretic hypotheses.