Heike Mildenberger
Publications and Preprints
On the homogeneity property for certain quantifier logics,
Archive for Mathematical Logic 31:445-455 (1992).
A rigid Boolean algebra that admits the elimination of Q^2_1 ,
Fundamenta Mathematicae 142:1-18 (1993).
Ordertypes of Free Subsets,
Annals of Pure and Applied Logic 89:75-83 (1997).
Non-Constructive Galois-Tukey Connections,
The Journal of Symbolic Logic 62:1179-1187 (1997).
Changing cardinal
invariants of the reals without changing cardinals or the reals,
The Journal of Symbolic Logic 63:593-599 (1998).
Borel on the question versus Borel on the answers,
Mathematical Logic Quarterly 45:127-133 (1999).
Together with Otmar Spinas:
Meeting infinitely many cells of a partition once,
Archive for Mathematical Logic 37:495-503 (1998).
Together with Andreas Blass:
On the cofinality of ultrapowers,
Journal of Symbolic Logic 64:627-636 (1999).
Groupwise
dense families, Archive for Mathematical Logic 40:93-112 (2001).
Toeplitz Matrices and Convergence,
Fundamenta Mathematicae 165 (2000), 175-189.
Joint work with Sakae Fuchino,
Saharon Shelah
and
Peter Vojtas:
On absolutely divergent series[MShFV:593],
Fundamenta Mathematicae 62:252-268 (1999).
Joint work with Saharon Shelah:
Changing cardinal
characteristics without adding omega-sequences or changing cofinalities
[MdSh:684],
Annals of Pure and Applied Logic 106:207-261 (2000).
The strengths of some violations of covering,
Mathematical Logic Quarterly 47:291-298 (2001).
Joint work with Saharon Shelah, [MdSh:731], The relative consistency of g < cf(Sym(omega)),
Journal of Symbolic Logic 67:297-314 (2002).
Joint work with Saharon Shelah, [MdSh:753],
The splitting number can be smaller than the matrix chaos number,
Fundamenta Mathematicae 171:167-176 (2002).
No Borel connections for the unsplitting relations,
Mathematical Logic
Quarterly 48:517-521 (2002).
Joint work with Saharon Shelah, [MdSh:778],
Specializing Aronszajn
trees by countable approximations,
Archive for Mathematical Logic 42:627-647 (2003).
Joint work with Saharon Shelah, [MdSh:725],
On needed reals,
Israel Journal of Mathematics, 141:1-38 (2004).
More canonical forms and dense free subsets,
Annals of Pure and Applied Logic 125:75-99 (2004).
Joint work with Saharon Shelah and
Boaz Tsaban,
Covering the Baire space by families which are not finitely dominating, [MShT:847],
Annals of Pure and Applied Logic 140:60-71 (2006).
Creatures on \omega_1 and Weak Diamonds, The Journal of Symbolic
Logic 74:1-16 (2009).
Joint work with Saharon Shelah,
Increasing the groupwise density number by
c.c.c. forcing, [MdSh:843],
Annals of Pure and Applied Logic, 149:6-13 (2007).
Joint work with Saharon Shelah and Boaz Tsaban,
The combinatorics of \tau-covers [MdShTs:858],
Topology and its Applications 154(1):263-276 (2007).
On the groupwise density number for filters,
Acta Univ. Carolinae - Math. et Phys. 46(2):55-63 (2005).
Forcing with $F_\sigma$- and with Summable Filters,
Quaderni di Matematica, vol. 17 (2006), Set Theory: Recent
Trends and Applications,
ed. by A. Andretta, pages 183-194.
There may be
infinitely many near coherence classes under ${\mathfrak u}<{\mathfrak d}$,
The Journal of Symbolic Logic 72(4):1228-1238 (2007).
Joint work with Saharon Shelah,
Specialising Aronszajn
trees and preserving some weak diamonds, [MdSh:848], The
Journal
of Applied Analysis 15(1):47-78 (2009).
The filter generated by {A+A : A subseteq N}
is comeagre and pinning down some cardinals,
Quaderni di Matematica vol. 18 (2007), Selection principles
and games in Topology, ed. L. Kocinac,
pages 101-103.
Joint work Saharon Shelah,
The principle of
near coherence of filters does not imply the filter dichotomy principle,
[MdSh:894], The Transactions of the American Mathematical Society
361:2305-2317 (2009).
Cardinal characteristics for Menger-bounded subgroups,
Topology and its Applications 156:130-137 (2008).
Finding generic filters by playing games,
Archive for Mathematical Logic 49(1):91-118 (2010).
The club principle and the distributivity number, The
Journal of Symbolic Logic 76(1):34-46 (2011).
Joint work with Lyubomyr Zdomskyy,
$L$-spaces and the $P$-ideal dichotomy, Acta
Math. Hung. 125 (1-2):87-97 (2009).
Joint work with Saharon Shelah,
Proper Translation, Fundamenta Mathematicae 125 no. 1 (2011), 1-38.
On Milliken-Taylor ultrafilters, Notre
Dame Journal of Formal Logic 52 no. 4 (2011),
381-394.
Joint with Saharon Shelah The minimal
cofinality of an ultrapower of omega and the
cofinality of the symmetric group can be larger than b+,
The Journal of Symbolic Logic 76, no. 4 (2011), 1322-1340.
Joint with Saharon Shelah,
Many countable support iterations of proper forcings preserve Souslin
trees,
Annals of Pure and Appl. Logic 165, 2014, 573-608.
Joint with
Dilip Raghavan and Juris Streprans,
Splitting families and complete separability,
Canad. Math. Bull. 57 (2014), no. 1, 119-124.
together with Taras Banakh,
Cardinal invariants distinguishing permutation groups,
European Journal of Mathematics, 2:2 (2016) 493-507.
Diagonalising an Ultrafilter and Preserving a $P$-Point, Fund. Math. 246 (2019), no. 1, 9-26.
Joint with Saharon Shelah, Specialising Aronszajn Trees with Strong Axiom A and with Halving, Notre Dame J. Form. Log. 60 (2019), no. 4, 587-616.
joint with Filippo Calderoni and Luca Motto Ros,
Uncountable structures are not classifiable up to bi-embeddability, J. Math. Log. 20 (2020), no. 1, 2050001, 49 pp.
joint with S. Shelah,
A version of $\kappa$-Miller forcing, Archive for Mathematical Logic, 59(7) (2020), 879 - 892
Joint with Saharon Shelah,
The cofinality of the symmetric group and the cofinality of ultrapowers, Israel J. Math. 242 (2021), no. 1, 97 - 128.
Joint with Saharon Shelah,
Higher Miller Forcing May Collapse Cardinals,
J. Symb. Log. 86 (2021), no. 4, 1721 - 1744.
Joint with Maxwell Levine,
Distributivity of uncountably singular tree forcings, to appear in the Israel Journal of Mathematics.
Joint with Giorgio Laguzzi and Brendan Stuber-Rousselle,
Mathias and Silver Forcing Parametrized by Density,
to appear in Archive Math. Logic,
printed version, via open access.
Joint with Christian Bräuninger,
A Simple $P_{\aleph_1}$-Point and a Simple $P_{\aleph_2}$-Point, J. Eur. Math. Soc. 25 (2023), no. 12, 4971-4996.
DOI 10.4171/JEMS/1299.
Joint with Giorgio Laguzzi and Brendan Stuber-Rousselle,
On splitting trees,
Mathematical Logic Quarterly 2023;69:1--30. printed version, via open access.
Exactly Two
and Exactly Three Near-Coherence Classes,
Journal of Mathematical Logic.
Volume No. 24, Issue No. 01, Article No. 2350003, Year 2024.
DOI 10.1142/S0219061323500034
joint with Shelah,
Negating Club and Stick with Strategically Closed Forcings
2022, preprint.
Last update April, 2024, HM
