Alan Dow's Home Page
Contact info:
The Carolina
Seminar Recordings
Newer papers
- Non-trivial copies of
N* (while all automorphisms trivial) June 2024
- Autohomeomorphisms of
pre-images of N* (Nx[0,1] versus N) June 2024
- S-spaces and a large continuum with Saharon Shelah
- Automorphisms of P(omega)/fin and large continuum
- S-spaces and a large continuum with Saharon Shelah
- On the Weak Pseudoradiality of CSC Spaces with Hector Barriga-Acosta, to
appear Fundamenta
- A zero-dimensional F-space that is not strongly
zero-dimensional, with K.P. Hart, preprint 2022
- Spaces of countable free set number and PFA, with
Istvan Juhasz, preprint 2022
- On the
bounding, splitting, and distributivity numbers with Saharon Shelah,
preprint 2021.
- PFA
and omega1-free spaces with Klaas Pieter Hart, preprint 2021.
- The
independence of GCH and a combinatorial principle related to Banach-Mazur
Games with Will Brian and Saharon Shelah, 2021 preprint.
- Many
Weak P-sets with Jan van Mill, preprint 2020
- All Parovicenko spaces may be
soft-Parovichenko with K.P. Hart, preprint 2021.
- Compact
spaces with a P-base, with Ziqin Feng, Indagationes Mathematicae, to
appear 2021.
- Laver
forcing and converging sequences, preprint Jan 2021.
- On
the cardinality of separable pseudoradial spaces , With Istvan Juhasz;
TopAppl 2021 to appear
- Productivity
of Cellular-Lindelof spaces, With R.M. Stephenson; preprint Nov. 2020
- Telgarsky's
conjecture may fail with Will Brian, David Milovich, and Lynne
Yengulalp, Israel Journal 2021
- An
Efimov space with character less than s, preprint Dec. 2019; updated
Aug 2020.
- Pseudoradial spaces and copies of
omega1+1 with Angelo Bella and Rodrigo Hernandez-Gutierrez, TopApp
2020
- Some
regular open subsets of N*, preprint May 2019.
- Small
cardinals and Efimov spaces With Will Brian, preprint May 2019.
- P-filters
and Cohen, Random, and Laver forcing preprint June 2018.
- Densely
k-separable compacta are densely separable (with Istvan Juhasz) May
2018 preprint
- On
the tightness of G-delta-modifications with (I. Juhasz, L. Soukup, Z.
Szentmiklossy, and W. Weiss) (Acta Math. Hungar. to appear)
- Pseudo
P-points 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
pp1236-1241)
- Asymmetric
tie-points 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
pi-character, 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
Hernandez-Gutierrez), Feb 25, 2016.
- Far points and discretely generated spaces;
(with Rodrigo Hernandez-Gutierrez), Sept 4, 2015.
- Hereditarily
Normal Manifolds of Dimension > 1 May All Be Metrizable (with F.
Tall) Submitted Sep 2015.
- Compact
spaces with a P-diagonal (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 long-low 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
C-closed spaces need not be sequential (appearing in Acta Mathematica
Hungarica)
http://rdcu.be/vFU6 for
read-only "as part of the Springer Nature Content Sharing
Initiative")
See also: (Your paper is available
electronically )
- CH and the Moore-Mrowka
Problem PDF (with Todd Eisworth, to
appear TopAppl)
- Tightness in sigma-compact
spaces PDF (with Justin Moore) Topology Proc. 46
(2015), 213--232
- On subcontinua and continuous
images of Beta R minus R PDF (with K.P. Hart,
TopAppl 195, 2015)
- Set-theoretic update on
Topology PDF (appeared in: Recent progress in
general topology, III, 2014)
- Generalized side-conditions
and Moore-Mrowka PDF (yay!) to appear TopAppl.
2016.
- PFA and complemented
subspaces of l-infinity mod c0 PDF (accepted
Journal of Logic and Analysis)
- A new Lindelof space with
points G-delta PDF (CMUC 2015)
- pi-weight and the
Frechet-Urysohn property PDF (2014 TopAppl)
- Tie-points, regular closed
sets, and copies of N* PDF (submitted 2011,
still in review)
- Reflecting Lindelof and
converging omega1-sequences PDF (with K.P.
Hart, Fundamenta 2014)
- A non-trivial 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 Pichardo-Mendoza 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 tie-points and
homeomorphism in N* PDF (with Saharon Shelah,
Fund. Math. 2009)
- Tie-points and fixed-points
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 Pichardo-Mendoza 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
Pichardo-Mendoza) 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 e-print math.GN/0509097) DVI
and PDF (submitted 2005)
- On n-to-one continuous images
of beta N (with Jan van Mill) DVI and PDF (submitted 2005)
- a non-partitionable mad
family DVI and PDF
(submitted 2005)
- a paper with Geta Techanie on
2-1 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 C-infinity 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)
- omega-far 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
Set-theoretic Topolgy for Prague Proceedings DVI PDF ( Recent progress in general topology, II,
Amsterdam, 2002.)
Papers
related to Beta R
Surveys
and Notes on Set-theory
Papers
about Beta N
Others in
Set-theoretic 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
co-absolute
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 non-representable 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
non-CWH 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 omega1-compact 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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