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Displaying similar documents to “The Lindelöf number greater than continuum is u-invariant”

The union of two D-spaces need not be D

Dániel T. Soukup, Paul J. Szeptycki (2013)

Fundamenta Mathematicae

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We construct from ⋄ a T₂ example of a hereditarily Lindelöf space X that is not a D-space but is the union of two subspaces both of which are D-spaces. This answers a question of Arhangel'skii.

On fans

J. J. Charatonik

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CONTENTS§ 1. Introduction....................................................................................................................................................................... 5§ 2. Preliminaries.................................................................................................................................................................... 6§ 3. Smoothness........................................................................................................................................................................

Nonhyperbolic one-dimensional invariant sets with a countably infinite collection of inhomogeneities

Chris Good, Robin Knight, Brian Raines (2006)

Fundamenta Mathematicae

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We examine the structure of countable closed invariant sets under a dynamical system on a compact metric space. We are motivated by a desire to understand the possible structures of inhomogeneities in one-dimensional nonhyperbolic sets (inverse limits of finite graphs), particularly when those inhomogeneities form a countable set. Using tools from descriptive set theory we prove a surprising restriction on the topological structure of these invariant sets if the map satisfies a weak...

Invariance identity in the class of generalized quasiarithmetic means

Janusz Matkowski (2014)

Colloquium Mathematicae

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An invariance formula in the class of generalized p-variable quasiarithmetic means is provided. An effective form of the limit of the sequence of iterates of mean-type mappings of this type is given. An application to determining functions which are invariant with respect to generalized quasiarithmetic mean-type mappings is presented.

Continuous mappings on continua

T. Maćkowiak

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CONTENTS1. Introduction........................................................................................................ 52. Preliminaries. Special kinds of continua............................................................. 63. Classes of mappings.............................................................................................. 124. Generated classes of mappings.......................................................................... 155. General properties of...

Large continuum, oracles

Saharon Shelah (2010)

Open Mathematics

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Our main theorem is about iterated forcing for making the continuum larger than ℵ2. We present a generalization of [2] which deal with oracles for random, (also for other cases and generalities), by replacing ℵ1,ℵ2 by λ, λ + (starting with λ = λ <λ > ℵ1). Well, we demand absolute c.c.c. So we get, e.g. the continuum is λ + but we can get cov(meagre) = λ and we give some applications. As in non-Cohen oracles [2], it is a “partial” countable support iteration but it is c.c.c. ...

Continua determined by mappings.

Charatonik, Janusz J., Charatonik, Wlodzimierz J. (2000)

Publications de l'Institut Mathématique. Nouvelle Série

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Atomicity of mappings.

Charatonik, Janusz J., Charatonik, Włodzimierz J. (1998)

International Journal of Mathematics and Mathematical Sciences

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