ORDER-THEORETIC INVARIANTS IN SET-THEORETIC TOPOLOGY (original) (raw)

Second-countable compact Hausdorff spaces as remainders in mathbfZF\mathbf{ZF}mathbfZF and two new notions of infiniteness

Eliza Wajch

arXiv: General Topology, 2020

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Amalgams, connectifications, and homogeneous compacta

David Milovich

Topology and its Applications, 2007

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Second-countable compact Hausdorff spaces as remainders in ZF and two new notions of infiniteness

Eliza Wajch

2021

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On two topological cardinal invariants of an order-theoretic flavour

Santi Spadaro

Annals of Pure and Applied Logic, 2012

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Perfect compacta and basis problems in topology

Gary Gruenhage

Open Problems in Topology II, 2007

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Several amazing discoveries about compact metrizable spaces in ZF

Eliza Wajch

arXiv: General Topology, 2020

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The connected countable spaces of Bing and Ritter are topologically homogeneous

Iryna Banakh

2017

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More on countably compact, locally countable spaces

István Juhász

Israel Journal of Mathematics, 1988

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Major Theorems on Compactness: a Unified Exposition

Jerzy Dydak

American Mathematical Monthly, 1992

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Noetherian types of homogeneous compacta and dyadic compacta

David Milovich

Topology and its Applications, 2008

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Topology and its Applications

Akio Kato

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On first countable, cellular-compact spaces

István Juhász

arXiv: General Topology, 2019

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A hierarchy of maps between compacta

Paul Bankston

Journal of Symbolic Logic, 1999

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Toposym 4-A István Juhász Two set-theoretic problems in topology

István Juhász

2012

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Several results on compact metrizable spaces in \mathbf {ZF}$$

Eliza Wajch

Monatshefte für Mathematik, 2021

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Some remarks on a property of topological cardinal functions

István Juhász

Acta Mathematica Academiae Scientiarum Hungaricae, 1969

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On homogeneous images of compact ordered spaces

E. Tymchatyn

Canadian Journal of Mathematics, 1993

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Special issue dedicated to the second workshop on coverings, selections and games in topology, Lecce, Italy, December 19–22, 2005

Ljubiša Kočinac

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Hausdorff compactifications in ZF

Eliza Wajch

2018

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First countable, countably compact spaces and the continuum hypothesis

Peter Nyikos

Transactions of the American Mathematical Society

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Order-theoretic properties of bases in topological spaces I

Santi Spadaro

Arxiv preprint arXiv:1012.3966, 2010

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Problems from the Lviv topological seminar

Igor Guran

Open Problems in Topology II, 2007

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Countable products and countable sums of compact metrizable spaces in the absence of the Axiom of Choice

Eliza Wajch

2021

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On some non-Archimedean spaces of Alexandroff and Urysohn

Peter Nyikos

Topology and its Applications, 1999

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Hyperspaces of countable compacta

Paweł Krupski

arXiv (Cornell University), 2019

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The compactificability classes of certain spaces

Martin Kovár

International Journal of Mathematics and Mathematical Sciences, 2006

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Spaces with compact topologies

Harold Reiter

Rocky Mountain Journal of Mathematics, 1972

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Cardinal characteristics and monotonically normal compacta

Ahmad Farhat

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On Cα-compact subsets

A. Tamariz-Mascarúa

Topology and its Applications, 1997

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Power homogeneous compacta and the order theory of local bases

David Milovich

Topology and its Applications, 2010

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Compactifiable classes of compacta

Jozef Bobok

Topology and its Applications, 2019

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Separation and cardinality – some new results and old questions

Dimitrina Stavrova

Topology and its Applications, 2017

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Topologies larger than α-compact topologies

Lech Polkowski

Topology and its Applications, 1988

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More reflections on compactness

R. Lucia, Franklin Tall

Fundamenta Mathematicae, 2003

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