### Skeletal maps and I-favorable spaces

Andrzej Kucharski, Szymon Plewik (2010)

Acta Universitatis Carolinae. Mathematica et Physica

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Andrzej Kucharski, Szymon Plewik (2010)

Acta Universitatis Carolinae. Mathematica et Physica

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Logunov, Sergei (2002)

Commentationes Mathematicae Universitatis Carolinae

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Vendula Honzlová Exnerová (2012)

Commentationes Mathematicae Universitatis Carolinae

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The paper is devoted to the study of the properties of the Fučík spectrum. In the first part, we analyse the Fučík spectra of the problems with one second order ordinary differential equation with Dirichlet, Neumann and mixed boundary conditions and we present the explicit form of nontrivial solutions. Then, we discuss the problem with two second order differential equations with mixed boundary conditions. We show the relation between the Dirichlet boundary value problem and mixed boundary...

Sergei Logunov (2007)

Commentationes Mathematicae Universitatis Carolinae

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$\beta X-\left\{p\right\}$ is non-normal for any metrizable crowded space $X$ and an arbitrary point $p\in {X}^{*}$.

Sergei Logunov (2002)

Commentationes Mathematicae Universitatis Carolinae

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Remote points constructed so far are actually strong remote. But we construct remote points of another type.

Derrick Stover (2009)

Commentationes Mathematicae Universitatis Carolinae

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A space $X$ is said to be $\pi $-metrizable if it has a $\sigma $-discrete $\pi $-base. The behavior of $\pi $-metrizable spaces under certain types of mappings is studied. In particular we characterize strongly $d$-separable spaces as those which are the image of a $\pi $-metrizable space under a perfect mapping. Each Tychonoff space can be represented as the image of a $\pi $-metrizable space under an open continuous mapping. A question posed by Arhangel’skii regarding if a $\pi $-metrizable topological group must be metrizable...