Displaying similar documents to “On non-normality points and metrizable crowded spaces”

Strong remote points.

Logunov, Sergei (2002)

Commentationes Mathematicae Universitatis Carolinae

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Strong remote points

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.

On π -metrizable spaces, their continuous images and products

Derrick Stover (2009)

Commentationes Mathematicae Universitatis Carolinae

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A space X is said to be π -metrizable if it has a σ -discrete π -base. The behavior of π -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 π -metrizable space under a perfect mapping. Each Tychonoff space can be represented as the image of a π -metrizable space under an open continuous mapping. A question posed by Arhangel’skii regarding if a π -metrizable topological group must be metrizable...

Uniformly convex functions II

Wancang Ma, David Minda (1993)

Annales Polonici Mathematici

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Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses f - 1 ( w ) = w + d ₂ w ² + d ₃ w ³ + . . . . The series expansion for f - 1 ( w ) converges when | w | < ϱ f , where 0 < ϱ f depends on f. The sharp bounds on | a n | and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on | a n | and all extremal functions for...