Abstract Matthias Schröder has asked the question whether there is a weakest discontinuous problem in topological version of Weihrauch lattice. Such can be considered as unsolvable problem. We introduce discontinuity , and we show that it reducible exactly to effectively problems defined suitable way. However, which sense this answers Schröder’s sensitively depends on axiomatic framework chosen...

For a given finite positive measure we determine the minimal information that is needed from its Fourier transform to determine the measure completely. In particular, we show that if the support of a measure doesn’t contain a sequence of Beurling-Malliavin interior density d > 0 then the interval of determinacy for this measure must be of length larger than πd. As a consequence, we provide a sh...

This bachelor thesis investigates the possibility to extend Blackwell Determinacy to the reals and discusses two possibilities. One uses measures with countable support—the other endows the reals with the Euclidean topology. At the end we propose a possible application.

We show that, assuming the consistency of a supercompact cardinal, the first (weakly) inaccessible cardinal can satisfy a strong form of a Löwenheim-Skolem-Tarski theorem for the equicardinality logic L(I), a logic introduced in [4] strictly between first order logic and second order logic. On the other hand we show that in the light of present day inner model technology, nothing short of a sup...

Floral meristems and shoot apical meristems (SAMs) are homologous, self-maintaining stem cell systems. Unlike SAMs, floral meristems are determinate, and stem cell maintenance is abolished once all floral organs are initiated. To investigate the underlying regulatory mechanisms, we analyzed the interactions between WUSCHEL (WUS), which specifies stem cell identity, and AGAMOUS (AG), which is re...

We formulate and prove generic virtual determinacy for a class of stationary overlapping-generations models that allows a continuum of differentiated commodities in continuous time. Since that class subsumes a finite list of commodities in discrete time, we prove for many of the leading examples of indeterminacy in the literature there exists a generic (residual) perturbation of preferences tha...

We consider an infinite two-player stochastic zero-sum game with a Borel winning set, in which the opponent’s actions are monitored via stochastic private signals. We introduce two conditions of the signalling structure: Stochastic Eventual Perfect Monitoring (SEPM) and Weak Stochastic Eventual Perfect Monitoring (WSEPM). When signals are deterministic these two conditions coincide and by a rec...

In this note, we look at weaker versions of the Axiom of Blackwell Determinacy introduced in [Lö02b] and [Lö03]. We use these results to get a new lower bound for the consistency strength of the Axiom of pure Blackwell Determinacy pBl-AD. We shall investigate Blackwell games against opponents with arbitrary mixed strategies Bl-Det(Γ), against opponents with usual pure strategies pBl-Det(Γ), and...