The Czech Academy of Sciences (CAS) celebrates its 125-year anniversary with a new strategy for its future development (consisting of 14 research programmes) and also with its new logo. Part of the speech of the CAS President delivered at the 45th Session of the Academiy Assembly (16th December 2014) is published with the aim of presenting the important ideas behind the Strategy AV21 for the 21st century. and Jiří Drahoš.
1412 saw large-scale protests in Prague against crusading indulgences issued by Pope John XXIII. This study identifies and evaluates some polemical manuscript texts that can be situated within the context of this controversy. It offers a critical edition of the anti-indulgence pamphlet Vobis asmodeistis that was found in a money box at Prague Castle on 20 June 1412. The hitherto unknown polemic Motiva pro defensa prelatorum et indulgenciarum is also edited in the appendix. The statement arguing that prelates should not be criticised by their subjects and misdemeanours be dealt with mercy is followed by a Wycliffite refutation. Two manuscript texts on indulgences which were suspected to be treatises from 1412 by Andrew of Brod and Stanislav of Znojmo respectively are an excerpt from the Tractatus fidei by Benoît d’Alignan, with the second paragraph coming from Stanislav’s later work. In sum, the sources examined in this article show the various ways of how the events of 1412 impacted literary output. and Pavel Soukup.
It is known that for a nonempty topological space X and a nonsingleton complete lattice Y endowed with the Scott topology, the partially ordered set [X, Y ] of all continuous functions from X into Y is a continuous lattice if and only if both Y and the open set lattice OX are continuous lattices. This result extends to certain classes of Z-distributive lattices, where Z is a subset system replacing the system D of all directed subsets (for which the D-distributive complete lattices are just the continuous ones). In particular, it is shown that if [X, Y ] is a complete lattice then it is supercontinuous (i.e. completely distributive) iff both Y and OX are supercontinuous. Moreover, the Scott topology on Y is the only one making that equivalence true for all spaces X with completely distributive topology. On the way to these results, we find necessary and sufficient conditions for [X, Y ] to be complete, and some new, purely topological characterizations of continuous lattices by continuity conditions on their (infinitary) lattice operations.