Alan Dow's Home Page
Contact info:
Alan
Dow  Mathematics and
Statistics 
adow@uncc.edu  University
of North Carolina at Charlotte 
704  687 
0637  9201 University City Blvd. 
 Charlotte, NC
28223 
campus address: Fretwell
390J  
Newer papers
 An Efimov space with character less
than s, preprint Dec. 2019
 Some regular open subsets of N*,
preprint May 2019.
 Small cardinals and Efimov spaces
With Will Brian, preprint May 2019.
 Pfilters and Cohen, Random, and Laver
forcing preprint June 2018.
 Densely kseparable compacta are densely
separable (with Istvan Juhasz) May 2018 preprint
 On the tightness of Gdeltamodifications
with (I. Juhasz, L. Soukup, Z. Szentmiklossy, and W. Weiss)
(Acta Math. Hungar. to appear)
 Pseudo Ppoints and splitting number,
(with Saharon Shelah) preprint January 2018.

More topological partition relations on beta N
(accepted special issue Wis Comfort)
 PFA(S) and countable tightness,
preprint Sept 2017
 More on sequential order of
compact scattered spaces (with Secil Tokgoz)
(Turkish Journal of Mathematics 2018 42 pp12361241)

Asymmetric tiepoints and almost clopen subsets of N*
(with S. Shelah), preprint.
 On Rancin's problem
(with Angelo Bella), preprint.
 Almost compatible functions
and infinite length games (with Steven Clontz), Rocky Mountain
Journal (to appear)
 PFA(S) and automorphisms of P(N)/fin June 16, 2016

Normality versus paracompactness in locally compact spaces (with F. Tall) June 12, 2016.

Countable picharacter, countable compactness and PFA
May 16, 2016
 PFA(S)[S] and
countably compact spaces (with F. Tall) February 7, 2016.

Splitting number can be singular
(with S. Shelah) Jan 4, 2016
 Reversible filters;
(with Rodrigo HernandezGutierrez), Feb 25, 2016.
 Far points and discretely generated
spaces; (with Rodrigo HernandezGutierrez), Sept 4, 2015.

Hereditarily
Normal Manifolds of Dimension > 1 May All Be Metrizable
(with F. Tall) Submitted Sep 2015.
 Compact spaces with a Pdiagonal
(with K.P. Hart); to appear Indagationes Mathematicae 2016.
 The Katowice problem and autohomeomorphisms of omega*
(with D. Chodounsky, K.P. Hart, and H. de Vries)

On the bounding, splitting, and distributivity numbers of
P ( N); An application of longlow iterations (with S. Shelah)
(revised June 3 2015)
 PDF
Under CH, a compact space X is metrizable if and only if XxX\ Delta
is dominated by the irrationals (with
David Guerrero Sanchez) accepted Nov 2014 Bulletin of the Australian
Mathematical Society

Compact Cclosed spaces need not be sequential (appearing in
Acta Mathematica Hungarica)
http://rdcu.be/vFU6 for readonly
"as part of the Springer Nature Content Sharing Initiative")
See also: (Your paper is
available electronically )
 CH and the MooreMrowka Problem
PDF (with Todd Eisworth, to appear TopAppl)
 Tightness in sigmacompact spaces
PDF (with Justin Moore)
Topology Proc. 46 (2015), 213232
 forcing copies of omega1 with PFA(S)
PDF (prelim report with F. Tall, 2014)
 On subcontinua and continuous images of Beta R minus R
PDF (with K.P. Hart, TopAppl 195, 2015)
 Settheoretic update on Topology
PDF
(appeared in: Recent progress in general topology, III, 2014)
 Generalized sideconditions and MooreMrowka
PDF (yay!) to appear TopAppl. 2016.
 PFA and complemented subspaces of linfinity mod c0
PDF (accepted Journal of Logic and Analysis)
 A new Lindelof space with points Gdelta
PDF (CMUC 2015)

piweight and the FrechetUrysohn property
PDF (2014 TopAppl)
 Tiepoints, regular closed sets, and copies of N*
PDF (submitted 2011, still in review)
 Reflecting Lindelof and converging omega1sequences
PDF (with K.P. Hart, Fundamenta 2014)
 A nontrivial copy of beta N minus N
PDF (PAMS 2014)
 An Efimov space from Martin's axiom
PDF (with Saharon Shelah, Houston Journal
2013)
 Efimov's problem and Boolean algebras
PDF(with Roberto PichardoMendoza
Top Appl. 2013)
 Martin's Axiom and separated mad families
PDF (with Saharon Shelah, Rendi. Circ. Mat.
Palermo 2012)
 Proper forcing axiom and selective separability
Selective separability and SS+
PDF
(with Doyel Barman Topology Appl. 2012)
 Elementary chains and compact spaces with a small diagonal
PDF (with K.P. Hart) Indagationes Mathematicae 2012
 Ordinal remainders of classical Psi spaces
PDF (with Jerry
Vaughan, Fund Math 2012)
 More on tiepoints and homeomorphism in N*
PDF
(with Saharon Shelah, Fund. Math. 2009)
 Tiepoints and fixedpoints in N*
PDF (with Saharon Shelah, Top. Appl. 2008)
 Two Applications of Reflection and Forcing to Topology from 1986
New papers
 Selectively Separable and SS+
PDF
(with Doyel Barman, Topology Proceedings 2011) (a correction added)
 Complete separation in the random and Cohen models
PDF
(with Doyel Barman and Roberto PichardoMendoza
Top Appl. 2011)
 Ordinal Remainders of Psi spaces PDF (with Jerry Vaughan,
Top. Appl. 2011)
 Mrowka maximal almost disjoint families for uncountable cardinals
PDF (with Jerry Vaughan,
Top. Appl. 2010)
 CH simple (with Roberto PichardoMendoza)
PDF (submitted 2008)
 More about spaces with a small diagonal (with O.Pavlov)
DVI and
PDF (submitted 2005)
 Cosmic Dimensions (with K.P. Hart)
(arXiv eprint math.GN/0509097)
DVI
and
PDF (submitted 2005)
 On ntoone continuous images of beta N
(with Jan van Mill)
DVI
and
PDF
(submitted 2005)
 a nonpartitionable mad family
DVI and PDF
(submitted 2005)
 a paper with Geta Techanie on 21 maps under CH
DVI and
PDF (accepted Fund. Math. 2005)
 Voo Doo spaces and retracts
(Voo Doo spaces are maximal extremally disconnected with no isolated points)
DVI and PDF
(submitted 2005)
 A Cp(X) space with the Lindelof property (with Petr Simon) DVI
and PDF (accepted Top. Appl. 2005)
 Property D and pseudonormal in first countable spaces
DVI and PDF (accepted CMUC 2005)
 Notes of Beta N from a workshop in Puebla PS
and PDF probaby ps is better.
 A paper with David Fremlin about Efimov spaces in the random real model
PDF
(published in Acta Math. Univ. Comenian. (N.S.) 76 (2007))
Many thanks to
Carlos Ivorra Castillo for extensive correspondence
leading to this improved version  mainly Corollary 3.2.

Two to one images
of beta N minus N under PFA DVI PDF (accepted Israel J. 2005)

Efimov’s spaces and the splitting number
DVI PDF (accepted Top. Proc. 2005)

Efimov’s problem
about closures of discrete sets DVI
PDF (Stud. Sci. Math. Hung. 2005)

a paper establishing CON(weight
w_2 is pseudoradial): PS , PDF, DVI (Top. Appl. 2005)
 On maximal Realcompact spaces and measurable cardinals
DVI and PDF
(Top. Appl. 2005)
 A paper about zeroes of analytic and Cinfinity functions (with
S. Ganguly, A. Gordon, and S. Molchanov)
DVI and
PDF
(accepted Appl. Anal. 2005)

on Sequential
order and Martin's Axiom DVI
PDF (Top. Appl. 2005)
 spaces whose pseudocompact subspaces are closed (with Porter, Woods,
and Stephenson)
DVI and PDF
(Appl. Gen. Top. 2004)
 is P(omega) a subalgebra? (with I. Farah) DVI and
PDF (Fund. Math. 2004)

omegafar
points in large spaces. (with Jan van Mill)
(Top. Appl. 2003)

Two results on
Special points DVI PDF (Fund. Math. 2003)
 a paper on pseudoradial in
Cohen model: PS, PDF, DVI (Top. Appl. 2003)

Yet another survey
on Settheoretic Topolgy for Prague Proceedings DVI PDF
( Recent progress in general topology, II,
Amsterdam, 2002.)
Papers related to Beta R
Surveys and Notes on Settheory
Papers about Beta N
Others in Settheoretic Topology
Unorganized list
(some are missing>
Very Short Forcing Notes from
Milazzo conference
A paper, in honour of
Alexandroff, on C*embedded cellular families
My remarks on the contributions
of Wis Comfort.
My remarks on the contributions
of Mary Ellen Rudin to Beta N
N* and R* need not be
coabsolute
A paper about Radial versus
Frechet (non tower filling forcing)
An (old) introduction to
Elementary Submodels
Subalgebras of Partitioner
algebras need not be partitioner algebras
(joint with Jinyuan Zhou: see also his thesis)
omega union {p} and pseudoradial
spaces
(Joint with Jinyuan Zhou; see also his thesis)
Jinyuan Zhou's
thesis (topics are: a nonrepresentable subalgebra and the spaces N union {p}
with respect to pseudoradial)
More Set Theory for Topologists
(Lectures at the summer conference in Maine)
With K. P. Hart we have a new
(ZFC) subcontinuum of R*
On the character of normal
nonCWH spaces
On the sequential order of
Compact spaces (Part 1 of ?)
Separating ideals of countable
subsets of uncountable sets, with applications to extending continuous
functions, and some remarks on Beta N
With Juhasz, Soukoup, and
Szentmiklossy: Sequentially compact can imply pseudoradial for compact spaces
for larger values of c
With Juhasz: Some results on
Initially omega1compact spaces
A modification of Solovay's
lemma (preserving towers) applied to radial spaces
with Jinyuan Zhou: Two real
ultrafilters on N
My article in the Recent
Progress in Topology book: Set theory for Topologists
with Heikki Junnila and Jan
Pelant: Weak covering properties of functions spaces
with K.P. Hart: R* is a
universal continuum
email address: adow@uncc.edu
Department of Mathematics
University of North Carolina at Charlotte
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