A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Filters
Some principles related to Chang's conjecture
1989
Annals of Pure and Applied Logic
Preserved Fulltext
Concerning the third, shall Some principles reilated to Char@ conjecture 41 ...
This seems tc be a basic principle because it impiies the negation of Chang's conjecture, that no wl-complete uniform filter on o1 is wrsaturated and that every uniform ultrafilter on o1 is regular. ...
Some principles reluted to Chung's conjecture ft to the reader. 0 85. The property <wl-Erdlis. Let P be the Levy-Solovay Wlb and follow the pattern of the proof of Theorem 8.8. ...
doi:10.1016/0168-0072(89)90030-4
fatcat:fbg64255vbaqnea6uwccbq7gqq
Chang's Conjecture with _ω_1, 2 from an ω_1-Erdős Cardinal
[article]
2019
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Answering a question of Sakai, we show that the existence of an ω_1-Erdős cardinal suffices to obtain the consistency of Chang's Conjecture with _ω_1, 2. By a result of Donder this is best possible. ...
We also give an answer to another question of Sakai relating to the incompatibility of _λ, 2 and (λ^+, λ) (κ^+, κ) for uncountable κ. ...
Chang's Conjecture is known to be incompatible with Jensen's square principle ω1 (see [9] ) but was recently shown to be consistent with Schimmerling's square principle ω1,2 by Sakai [7] , assuming the ...
arXiv:1810.03511v4
fatcat:ef3thaeklvhmfbnc3ecyi7k4xq
Page 3797 of Mathematical Reviews Vol. , Issue 2002F
[page]
2002
Mathematical Reviews
Preserved Fulltext
The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
Then Chang’s conjecture holds in any Pax extension of L(R). ...
The author’s broadly applicable technique for incorporating Chang’s conjecture is to “stretch” countable substructures us- ing local elementary embeddings. ...
Adjoining only the things you want: a survey of Strong Chang's Conjecture and related topics
[article]
2020
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
We survey some old and new results on strong variants of Chang's Conjecture and related topics. ...
Those questions are related to Conjecture 4.8 below. ...
Section 4, the longest section of the survey, deals with strong versions of Chang's Conjecture, stationary reflection principles, and related topics. ...
arXiv:1908.05334v3
fatcat:biqdu7miwrhkbjt7kjjbqzhygm
Chang's Conjecture and semiproperness of nonreasonable posets
[article]
2018
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
in the sense of Foreman-Magidor MR1359154---implies the version of Strong Chang's Conjecture from MR2723878 and MR1261218. ...
One corollary of our work is that the version of Strong Chang's Conjecture from MR2965421 does not imply the existence of a precipitous ideal on ω_1. ...
Some remarks about Strong Chang's Conjecture, special Aronszajn trees on ω 2 , and bounded dagger principles We call attention to the following two theorems: Theorem 25 (Todorcevic-Torres Perez [19], Theorem ...
arXiv:1605.00296v2
fatcat:chfnjm7gybdt7gbdere3qnc3ji
Page 5759 of Mathematical Reviews Vol. , Issue 95j
[page]
1995
Mathematical Reviews
Preserved Fulltext
The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
cannot be replaced by X; by the Chang’s conjecture result. ...
Beyond that, it is an independently im- portant result that provides an optimal self-refinement of Chang’s conjecture in the partition calculus. ...
A variant of Shelah's characterization of Strong Chang's Conjecture
[article]
2018
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Shelah considered a certain version of Strong Chang's Conjecture, which we denote SCC^cof, and proved that it is equivalent to several statements, including the assertion that Namba forcing is semiproper ...
This strengthens and sharpens the results of Cox, and sheds some light on problems from Usuba and Torres-Perez and Wu. ...
another version of Strong Chang's Conjecture, denoted SCC split , and prove Theorem 1.2 below, which is analogous to Shelah's Theorem 1. ...
arXiv:1811.06402v1
fatcat:6xdv5gfrcbcmdpj6esr623vtba
Strong Chang's Conjecture and the tree property at ω2
2015
Topology and its Applications
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Other Versions
We prove that a strong version of Chang's Conjecture, equivalent to the Weak Reflection Principle at ω_2, together with 2^ω=ω_2, imply there are no ω_2-Aronszajn trees. ...
Some final remarks We mention some related previous results. R. Strullu proved that the Map Reflection Principle, introduced by Moore in [7] , together with MA ω 1 implies TP(ω 2 ) (see [12] ). ...
Consider the following strong version of Chang's Conjecture: Definition 3.1 (CC * ). ...
doi:10.1016/j.topol.2015.05.061
pmid:26973369
pmcid:PMC4784726
fatcat:ypffeueyvjgcplp4ycegxl66p4
Page 636 of Mathematical Reviews Vol. , Issue 91B
[page]
1991
Mathematical Reviews
Preserved Fulltext
The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
Lévy (IL-HEBR)
91b:03087 03E35 03505
Donder, Hans-Dieter (D-FUB-2); Levinski, Jean-Pierre (1-DTM) Some principles related to Chang’s conjecture.
Ann. Pure Appl. Logic 45 (1989), no. 1, 39-101. ...
~TH was already known to lie between the full Chang conjecture (CC) and the weak variant of Chang’s conjecture (wCC) introduced by Shelah when considering cardinal exponentiation. ...
Global Chang's Conjecture and singular cardinals
[article]
2021
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2018 pre-print arXiv:1812.11768v1 fatcat:je4asazvhjf27lnkqh5rq364xa
We show some ZFC limitations on such principles, and prove relative to large cardinals that Chang's Conjecture can consistently hold between all pairs of limit cardinals below ℵ_ω^ω. ...
We investigate the possibilities of global versions of Chang's Conjecture that involve singular cardinals. ...
"Chang's Conjecture" is a type of principle strengthening this theorem to assert similar relationships between sequences of cardinals. ...
arXiv:1812.11768v2
fatcat:rkoksafk7fcexnf56e5tcngamu
Global Chang's Conjecture and singular cardinals
2021
European Journal of Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
We show some $$\mathrm{ZFC} $$ ZFC limitations on such principles and prove relative to large cardinals that Chang's Conjecture can consistently hold between all pairs of limit cardinals below $$\aleph ...
AbstractWe investigate the possibilities of global versions of Chang's Conjecture that involve singular cardinals. ...
"Chang's Conjecture" is a type of principle strengthening this theorem to assert similar relationships between sequences of cardinals. ...
doi:10.1007/s40879-021-00459-8
pmid:34722125
pmcid:PMC8550154
fatcat:4i2wt5y33nbv7bpdkyb2rwltla
Club Chang's Conjecture
[article]
2019
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2018 pre-print arXiv:1809.09280v2 fatcat:4q4dafcfnvaudapnruyr3vutsuOther Versions
Chang's Conjecture (CC) asserts that for every F:[ω_2]^<ω→ω_2, there exists an X that is closed under F such that |X|=ω_1 and |X ∩ω_1| =ω. ...
We denote this stronger principle Club-CC, and also show that, unlike CC, Club-CC implies failure of certain weak square principles. ...
Then Club Chang's Conjecture holds in V 3 by Theorem 15. ...
arXiv:1809.09280v4
fatcat:tmkvhdxpcrhw5nzukqr25lg2yy
On the divisible parts of quotient groups
[article]
1993
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
Techniques of combinatorial set theory are applied to the following algebraic problem. ...
We shall need an elementary connection between Chang's conjecture and the compression principle and a (nonelementary) theorem from [7] giving the consistency of a particular instance of Chang's conjecture ...
The counterexample involves Chang's conjecture. ...
arXiv:math/9310210v1
fatcat:dscbtn7dsnfxbbajqi7xfwso3a
Magidor-Malitz Reflection
[article]
2018
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
We derive some combinatorial results and improve the known upper bound for the consistency of Chang's Conjecture at successor of singular cardinals. ...
In section 2 we define the Q <ω analogue for Chang's conjecture and derive some reflection principles from it. ...
CONSISTENCY RESULTS This section is dedicated to the derivation of some consistency results regarding the reflection principles that were defined above. 3.1. Chang's conjecture at ℵ ω+1 . ...
arXiv:1512.09299v4
fatcat:h2iqg67efje5jbolmmgaendvju
Stationary and Closed Rainbow subsets
[article]
2020
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
In the process of dealing with cardinals greater than ω_1, we uncover some connections between versions of Chang's Conjectures and instances of rainbow Ramsey partition relations, addressing a question ...
When compared to the usual rainbow Ramsey theory, the variation focuses on finding a rainbow subset that not only is of a certain cardinality but also satisfies certain structural constraints, such as ...
Versions of Chang's Conjectures and rainbow sets The following boundedness condition naturally arises when versions of Chang's Conjectures are applied to study rainbow Ramsey theory. Definition 2.1. ...
arXiv:2007.05935v1
fatcat:njmkayay7bhkpenpq4p6tus2vq
« Previous
Showing results 1 — 15 out of 447 results