Ralf Schindler

Publication List Details

Period

1987 - 2010

Number

65

Co-Authors

Set theory (2010)

Ralf Schindler, Getext Von Martina Pfeifer, Ralf Schindler

Set theory aims at proving interesting true statements about the mathematical universe. Different people interpret “interesting ” in different ways. It is well known that set theory comes from...

Woodin’s axiom (∗), bounded forcing axioms, and precipitous ideals on ω1 (2010)

Benjamin Claverie, Ralf Schindler

If the Bounded Proper Forcing Axiom BPFA holds, then Mouse Reflection holds at ℵ2 with respect to all mouse operators up to the level of Woodin cardinals in the next ZFC–model. This yields that...

Stacking mice (2010)

Ronald Jensen, Ernest Schimmerling, Ralf Schindler, John Steel

We show that either of the following hypotheses imply that there is an inner model with a proper class of strong cardinals and a proper class of Woodin cardinals. 1) There is a countably closed...

The self-iterability of L[E (2010)

Ralf Schindler, John Steel

Let L[E] be an iterable tame extender model. We analyze to which extent L[E] knows fragments of its own iteration strategy. Specifically, we prove that inside L[E], for every cardinal κ which is not...

Increasing u2 by a stationary set preserving forcing (2010)

Benjamin Claverie, Ralf Schindler, Universität Münster

We show that if I is a precipitous ideal on ω1 and if θ> ω1 is a regular cardinal, then there is a forcing P = P(I, θ) which preserves the stationarity of all I-positive sets such that in V P,...

The Extender Algebra and Vagaries of Σ 2 1 Absoluteness (2010)

Ralf Schindler

We review the construction of the extender algebra, a Boolean algebra which is due to Woodin, with δ-many generators. The resulting genericity iteration is applied to prove a new Σ 2 1-absoluteness...

Bismuth coating of non-tunneled haemodialysis catheters reduces bacterial colonization: a randomized controlled trial (2010)

Schindler, Ralf, Heemann, Uwe, Haug, Ulrike, Stoelck, Benjamin, Karatas, Aysun, Pohle, Cosima, ...

Background. Haemodialysis (HD) catheter-related blood stream infections are a major cause of morbidity and mortality in patients with acute and chronic renal failure. Methods. We conducted a...

A criterion for coarse iterability ∗ (2010)

Gunter Fuchs, Itay Neeman, Ralf Schindler

The main result of this paper is the following theorem: Let M be a premouse with a top extender, F. Suppose that (a) M is linearly coarsely iterable via hitting F and its images, and (b) if M ∗ is...

A novel bio-assay increases the detection yield of microbiological impurity of dialysis fluid, in comparison to the LAL-test (2009)

GLORIEUX, GRIET, Schepers, Eva, Schindler, Ralf, Lemke, Horst-Dieter, VERBEKE, FRANCIS, Dhondt, Annemieke, ...

Background. Biological purity of dialysis water is considered as one of the primary conditions to deliver optimal haemodialysis. Methods. The present study explores the added value of a novel...

A novel bio-assay increases the detection yield of microbiological impurity of dialysis fluid, in comparison to the LAL-test (2009)

Glorieux, Griet, Schepers, Eva, Schindler, Ralf, Lemke, Horst-Dieter, Verbeke, Francis, Dhondt, Annemieke, ...

Background. Biological purity of dialysis water is considered as one of the primary conditions to deliver optimal haemodialysis. Methods. The present study explores the added value of a novel...

Π2 Consequences of BMM + NSω1 is precipitous and (2009)

Ralf Schindler, Universität Münster

the semiproperness of stationary set preserving forcings.

Thin Equivalence Relations in Scaled (2009)

Ralf Schindler

We give a new proof via inner model theory that every thin Σ Jα(R) 1 equivalence relation is ∆ Jα(R) 1, where α begins a Σ1 gap and Σ Jα(R) 1 is closed under number quanti cation, assuming...

Hyperosmotic stress enhances cytokine production and decreases phagocytosis in vitro (2008)

Otto, Natalie M, Schindler, Ralf, Lun, Andreas, Boenisch, Olaf, Frei, Ulrich, Oppert, Michael

Abstract Introduction Hyperglycemia is associated with negative outcomes in various settings of critical illness; infectious complications, especially, seem to be increased. On the other hand,...

A new condensation principle (2008)

Thoralf Räsch, Ralf Schindler

Abstract. We generalize ∇(A), which was introduced in [Sch∞], to larger cardinals. For a regular cardinal κ> ℵ0 we denote by ∇κ(A) the statement that A ⊆ κ and for all regular θ>...

Forcing axioms and projective sets of reals (2008)

Ralf Schindler

Abstract. This paper is an introduction to forcing axioms and large cardinals. Specifically, we shall discuss the large cardinal strength of forcing axioms in the presence of regularity properties...

Combination of bortezomib-based chemotherapy and extracorporeal free light chain removal for treating cast nephropathy in multiple myeloma (2008)

Bachmann, Ulrike, Schindler, Ralf, Storr, Markus, Kahl, Andreas, Joerres, Achim, Sturm, Isrid

Besides amyloidosis and light chain deposition disease, the most common histological type of renal lesion is cast nephropathy in 30% of patients with multiple myeloma [2]. In contrast to amyloidosis,...

of (2008)

Daniel Busche, Ralf Schindler, Westfälische Wilhelms-universität Münster

The strength of choiceless patterns

Pentraxin 3 is elevated in haemodialysis patients and is associated with cardiovascular disease (2007)

Boehme, Michael, Kaehne, Fenja, Kuehne, Anna, Bernhardt, Wanja, Schröder, Matthias, Pommer, Wolfgang, ...

Background. Pentraxins are mediators of inflammation as well as markers of the acute-phase reaction. While elevation of C-reactive protein (CRP) in patients with renal failure and its association...

Iterates of the core model (2006)

Schindler, Ralf

Let N be a transitive model of ZFC such that ω N ⊂ N and 𝒫(ℝ) ⊂ N. Assume that both V and N satisfy “the core model K exists.” Then KN is an iterate of K, i.e., there exists an...

The strength of AD (2006)

Ralf Schindler, John Steel

Using core model theory, we give a proof of Woodin’s theorem that the consistency of AD implies the consistency of infinitely many Woodin cardinals. The proof uses a mouse set theorem which is...

P != NP {cap} co-NP for Infinite Time Turing Machines (2005)

Deolalikar, Vinay, Hamkins, Joel David, Schindler, Ralf

Extending results of Schindler, Hamkins and Welch, we establish in the context of infinite time Turing machines that P is properly contained in NP ∩ co-NP. For higher analogues of these classes, we...

A universal extender model without large cardinals in V (2004)

Mitchell, William, Schindler, Ralf

We construct, assuming that there is no inner model with a Woodin cardinal but without any large cardinal assumption, a model Kc which is iterable for set length iterations, which is universal with...

Causes and therapy of microinflammation in renal failure (2004)

Schindler, Ralf

Microinflammation in renal failure has been the subject of numerous studies, but the causes of the inflammatory response in these patients are not clear. There are several potential causes and...

Homogeneously Souslin sets in small inner models (2003)

Koepke, Peter, Schindler, Ralf

We prove that every homogeneously Souslin set is coanalytic provided that either (a) 0^long does not exist or else (b) V=K where K is the core model below a \mu-measurable cardinal.

BMM is stronger than BSPFA (2003)

Schindler, Ralf

It is shown that if BMM (= Bounded Martin's Maximum) holds then each set is contained in an inner model with a strong cardinal. This answers a question that has been asked by various people. It...

Universally Baire sets and definable well-orderings of the reals (2003)

Friedman, Sy D., Schindler, Ralf

Let n ≥ 3 be an integer. We show that it is consistent (relative to the consistency of n-2 strong cardinals) that every σ1n-set of reals is universally Baire yet there is a (lightface) projective...

Core models in the presence of Woodin cardinals (2003)

Schindler, Ralf

It is shown that if there is a measurable cardinal above n Woodin cardinals and M_{n+1}^# doesn't exist then K exists. K is not fully iterable, though, but only iterable with respect to stacks of...

Pcf theory and Woodin cardinals (2002)

Gitik, Moti, Schindler, Ralf, Shelah, Saharon

We prove the following two results. Theorem A: Let alpha be a limit ordinal. Suppose that 2^{|alpha|}

Cardinal arithmetic and Woodin cardinals (2002)

Schindler, Ralf

Suppose that there is a measurable cardinal. If \aleph_\omega is a strong limit cardinal, but the power of \aleph_\omega is bigger than \aleph_{\omega_1}, then there is an inner model with a Woodin...

Sharps and the \Sigma^1_3 correctness of K (2002)

Schindler, Ralf

Steel and Welch have shown that K is \Sigma^1_3 correct if the reals are closed under sharps but 0^\pistol doesn't exist. We'll give a simple and purely combinatorial proof of the following: K is...

A simple proof of \Sigma^1_3 correctness of K (2002)

Schindler, Ralf

We present a simple and purely combinatorial proof of Steel's result according to which the core model is \Sigma^1_3 correct under the appropriate hypotheses.

P not= NP for infinite time Turing machines (2001)

Schindler, Ralf

We state a version of the P=?NP problem for infinite time Turing machines. It is observed that P not= NP for this version.

\nabla_\kappa, remarkable cardinals, and 0^# (2001)

Schindler, Ralf

For an uncountable regular cardinal \kappa we let \nabla_\kappa(A) be the statement that A \subset \kappa and for all regular \theta > \kappa, the set of all X \in [\theta]^

More on mutual stationarity (2001)

Schindler, Ralf

Extending a result of Foreman and Magidor we prove that in the core model for almost linear iterations the following holds. There is a sequence (S^n_\alpha : n0) such that each individual S^n_\alpha...

Iterations of V and the core model (2001)

Schindler, Ralf

Answering a question which was around for some while we prove that if \pi : V -> M is such that M is transitive and closed under \omega-sequences then the core model of M is an iterate of the core...

Removal of contrast media by different extracorporeal treatments (2001)

Schindler, Ralf, Stahl, Carsten, Venz, Stephan, Ludat, Klaus, Krause, Werner, Frei, Ulrich

Background. Although the capability of extracorporeal treatments after administration of contrast media to prevent radiocontrast‐induced nephropathy is controversial, haemodialysis is...

A universal weasel without large cardinals in V (2000)

Schindler, Ralf

We prove in the theory "ZFC + there is no inner model with a Woodin cardinal" that there is a universal weasel. This shows in particular that one doesn't have to assume the existence of large...

A note on an alleged proof of the relative consistency of P=NP with PA (2000)

Schindler, Ralf

We indicate that an argument of da Costa and Doria in fact proves P=NP. This observation makes their argument appear dubious. We isolate a weak version of one of their lemmas which would already...

L(R) absoluteness under proper forcings (1999)

Schindler, Ralf

We isolate a new large cardinal concept, "remarkability." Consistencywise, remarkable cardinals are between ineffable and omega-Erdos cardinals. They are characterized by the existence of...

The consistency strength of projective uniformization, revisited (1997)

Schindler, Ralf

It is shown that if every projective set of reals is Lebesgue measurable and has the property of Baire, if every projective set in the plane has a projective uniformization, and if Steel's K exists,...

Coding into K by reasonable forcing (1997)

Schindler, Ralf

Assuming that there is no inner model with a strong cardinal, the following is shown: any subset of \omega_1 can be made \Delta^1_3 (in the codes) by a reasonable set-forcing; there is a reasonable...

Weak covering and the tree property (1997)

Schindler, Ralf

Suppose that there's no transitive model of ZFC + there's a strong cardinal, and let K denote the core model. It is shown that if \delta has the tree property then \delta^{+K} = \delta^+ and \delta...

Peritonitis Associated with Vancomycin-Resistant Lactobacillus rhamnosus in a Continuous Ambulatory Peritoneal Dialysis Patient: Organism Identification, Antibiotic Therapy, and Case Report

Klein, Günter, Zill, Edith, Schindler, Ralf, Louwers, Jacobus

A case of Lactobacillus rhamnosus-associated peritonitis in a patient undergoing continuous ambulatory peritoneal dialysis is reported. The patient was treated with vancomycin after isolation of...

Peritonitis Associated with Vancomycin-Resistant Lactobacillus rhamnosus in a Continuous Ambulatory Peritoneal Dialysis Patient: Organism Identification, Antibiotic Therapy, and Case Report

Klein, Günter, Zill, Edith, Schindler, Ralf, Louwers, Jacobus

A case of Lactobacillus rhamnosus-associated peritonitis in a patient undergoing continuous ambulatory peritoneal dialysis is reported. The patient was treated with vancomycin after isolation of...