General topology (set-theoretic trend)
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Publication:1139822
DOI10.1007/BF01084982zbMath0434.54001WikidataQ29038960 ScholiaQ29038960MaRDI QIDQ1139822
V. I. Malykhin, V. I. Ponomarev
Publication date: 1975
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
ultrafilterSouslin numberextremally disconnected spacesdiscrete spacescomplementation in lattices of topologiescotopologieshereditary density and hereditary Lindelöfnessmaximal and minimal topologiespower of topological spaces
Research exposition (monographs, survey articles) pertaining to general topology (54-02) Nonstandard topology (54J05)
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Cites Work
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- On the equivalence of normality and compactness in hyperspaces
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- The decomposition series of a convergence space
- Universal relational systems
- On the Depth of Topological Spaces
- Ultrafilters and almost disjoint sets
- Normal Moore Spaces in the Constructible Universe
- On Countably Compact, Perfectly Normal Spaces
- A consistency result concerning hereditarily α-Lindelöf spaces
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- H-closed extensions I
- Prabir Roy's space Δ is not n-compact
- Some Consequences of Martin’s Axiom and the Negation of the Continuum Hypothesis
- On expansions of a Urysohn space to a regular space.
- Maximal topologies
- The Growth of Subuniform Ultrafilters
- The Rudin-Keisler Ordering of P-Points
- Independence results concerning the number of nowhere dense sets necessary to cover the real line
- On some problems of Hausdorff and of Sierpiński
- Compact Sets of Functions and Function Rings
- On Wallman-type compactifications
- Complementation in the lattice of regular topologies
- Topologies with $T_1$-complements
- A T 1 -Complement for the Reals
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- On the Existence of c-Points in βN\N
- Homogeneous Universal Relational Systems.
- From accessible to inaccessible cardinals (Results holding for all accessible cardinal numbers and the problem of their extension to inaccessible ones)
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- On sequentially regular convergence spaces
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- A Countable Minimal Urysohn Space is Compact
- On countable multiple point compactifications
- A Note on Wallman Spaces
- The α-Closure αX of a Topological Space X
- On the Sum of Two Borel Sets
- Products with Closed Projections
- THE PRODUCT OF TOPOLOGICAL GROUPS AND EXTREMAL DISCONNECTEDNESS
- A Stone-Cech Compactification for Limit Spaces
- Existence and Uniqueness Theorems for Extensions of Zero-Dimensional Compact Metric Spaces
- A new kind of compactness for topological spaces
- Products of M-Compact Spaces
- Independence results concerning a problem of N. Lusin
- Some Strengthenings of the Ulam Nonmeasurability Condition
- Some Sufficient Conditions for Maximal-Resolvability(1)
- Families of Mutually Complementary Topologies
- Regular-Closed, Urysohn-Closed and Completely Hausdorff-Closed Spaces
- A survey of cardinal invariants
- Wallman-Type Compactifications and Products
- Sequence-covering and countably bi-quotient mappings
- Internal cohen extensions
- Products of Weakly-ℵ-Compact Spaces
- Remarks on Baire theorem for H-closed spaces
- The Stone Space of the Saturated Boolean Algebras
- The cardinality of first countable spaces
- A Characterization of Order Topologies by Means of Minimal T 0 -Topologies
- Inverse limits and hyperspaces
- Metric spaces in which a strengthened form of Blumberg's theorem holds
- The Existence of Certain Ultrafilters on N and a Conjecture of Graham and Rothschild
- Relative Types of Points in βN - N
- On discrete subspaces of product spaces
- A note on $C$-compact spaces
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- A Compactification of Locally Compact Spaces
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- Some Wallman Compactifications Determined by Retracts
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- m-adic spaces
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- A quintuple quotient quest
- Nonstandard topology and extensions of monad systems to infinite points
- Some classes of E-Compactness
- Properties of Stone-Cech Compactifications of Discrete Spaces
- The box product of countably many compact metric spaces
- Non-separable Borel, sets, II
- Short complete nested sequences in βN⧹N and small maximal almost-disjoint families
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- Infinitesimals
- The Sorgenfrey topology is a join of orderable topologies
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- A topological characterization of products of compact totally ordered spaces
- Discrete Subsets of Perfectly Normal Spaces
- Invariant metrics on free topological groups
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- The Topological Complementation Theorem a la Zorn
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- A Lindelöf space X such that $X^2$ is normal but not paracompact
- On a question of Arhangel'skiǐ
- On the non-separable theory of k-borel and k-souslin sets
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