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External Characterization of I-Favorable Spaces

Valov, Vesko (2011)

Mathematica Balkanica New Series

1991 AMS Math. Subj. Class.:Primary 54C10; Secondary 54F65We provide both a spectral and an internal characterizations of arbitrary !-favorable spaces with respect to co-zero sets. As a corollary we establish that any product of compact !-favorable spaces with respect to co-zero sets is also !-favorable with respect to co-zero sets. We also prove that every C* -embedded !-favorable with respect to co-zero sets subspace of an extremally disconnected space is extremally disconnected.

Extraresolvability and cardinal arithmetic

Ofelia Teresa Alas, Salvador García-Ferreira, Artur Hideyuki Tomita (1999)

Commentationes Mathematicae Universitatis Carolinae

Following Malykhin, we say that a space $X$ is extraresolvable if $X$ contains a family $𝒟$ of dense subsets such that $| 𝒟 | > Δ (X)$ and the intersection of every two elements of $𝒟$ is nowhere dense, where $Δ (X) = min {| U | : U$ is a nonempty open subset of $X}$ is the dispersion character of $X$ . We show that, for every cardinal $κ$ , there is a compact extraresolvable space of size and dispersion character $2^{κ}$ . In connection with some cardinal inequalities, we prove the equivalence of the following statements: 1) $2^{κ} < 2^{κ^{+}}$ , 2) ${(κ^{+})}^{κ}$ is extraresolvable and...

Extraresolvability of balleans

Igor V. Protasov (2007)

Commentationes Mathematicae Universitatis Carolinae

A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant of a ballean, the extraresolvability, which is an asymptotic reflection of the corresponding invariant of a topological space.

Extremal disconnectedness and dyadicity

Efimov, B. (1967)

General Topology and its Relations to Modern Analysis and Algebra

Extremal Disconnectedness in Fuzzy Topological Spaces

Ratna Dev Sarma (1994)

Matematički Vesnik

Extremal disconnectedness modulo dual filtrations.

Dontchev, J., Rose, D. (1998)

Mathematica Pannonica

Extremal phenomena in certain classes of totally bounded groups [Book]

W. W. Comfort, Lewis C. Robertson (1988)

Extremal units in an archimedean Riesz space

Anthony W. Hager, Lewis C. Robertson (1978)

Rendiconti del Seminario Matematico della Università di Padova

Extremally disconnected resolutions of $T_{0}$ -spaces

A. Błaszczyk (1974)

Colloquium Mathematicae

Extreme points and descriptive sets

R. Kaufman (1993)

Fundamenta Mathematicae

A class of closed, bounded, convex sets in the Banach space $c_{0}$ is shown to be a complete PCA set.

Extreme topological measures

S. V. Butler (2006)

Fundamenta Mathematicae

It has been an open question since 1997 whether, and under what assumptions on the underlying space, extreme topological measures are dense in the set of all topological measures on the space. The present paper answers this question. The main result implies that extreme topological measures are dense on a variety of spaces, including spheres, balls and projective planes.

Extremely Non-Nice Operators into CK and Continuous Mappings into the Hilbert Cube.

S. Koppelberg, P. Greim (1984/1985)

Mathematische Zeitschrift

E-Zusammenhängende Räume.

Gerhard Preuß (1970)

Manuscripta mathematica

Displaying 301 – 313 of 313

Extremal phenomena in certain classes of totally bounded groups [Book]

Currently displaying 301 – 313 of 313