scholarly journals Controlling cardinal characteristics without adding reals

2020 ◽  
pp. 2150018
Author(s):  
Martin Goldstern ◽  
Jakob Kellner ◽  
Diego A. Mejía ◽  
Saharon Shelah

We investigate the behavior of cardinal characteristics of the reals under extensions that do not add new [Formula: see text]-sequences (for some regular [Formula: see text]). As an application, we show that consistently the following cardinal characteristics can be different: The (“independent”) characteristics in Cichoń’s diagram, plus [Formula: see text]. (So we get thirteen different values, including [Formula: see text] and continuum). We also give constructions to alternatively separate other MA-numbers (instead of [Formula: see text]), namely: MA for [Formula: see text]-Knaster from MA for [Formula: see text]-Knaster; and MA for the union of all [Formula: see text]-Knaster forcings from MA for precaliber.

2019 ◽  
Vol 60 (1) ◽  
pp. 61-95
Author(s):  
 Kellner Jakob ◽  
Shelah Saharon ◽  
Tănasie Anda R.

2017 ◽  
Vol 56 (7-8) ◽  
pp. 1045-1103 ◽  
Author(s):  
Arthur Fischer ◽  
Martin Goldstern ◽  
Jakob Kellner ◽  
Saharon Shelah

Author(s):  
Martin Goldstern ◽  
Lukas Daniel Klausner

Abstract We reimplement the creature forcing construction used by Fischer et al. (Arch Math Log 56(7–8):1045–1103, 2017. 10.1007/S00153-017-0553-8. arXiv:1402.0367 [math.LO]) to separate Cichoń’s diagram into five cardinals as a countable support product. Using the fact that it is of countable support, we augment our construction by adding uncountably many additional cardinal characteristics, sometimes referred to as localisation cardinals.


Author(s):  
Martin Goldstern ◽  
Jakob Kellner ◽  
Diego A. Mejía ◽  
Saharon Shelah

AbstractWe show how to construct, via forcing, splitting families that are preserved by a certain type of finite support iterations. As an application, we construct a model where 15 classical characteristics of the continuum are pairwise different, concretely: the 10 (non-dependent) entries in Cichoń’s diagram, $$\mathfrak{m}$$ m (2-Knaster), $$\mathfrak{p}$$ p , $$\mathfrak{h}$$ h , the splitting number $$\mathfrak{s}$$ s and the reaping number $$\mathfrak{r}$$ r .


1956 ◽  
Author(s):  
J. Donald Harris ◽  
Henry L. Haines ◽  
Cecil K. Myers
Keyword(s):  

2008 ◽  
Vol 68 (S 01) ◽  
Author(s):  
NC Hart ◽  
J Siemer ◽  
B Meurer ◽  
TW Goecke ◽  
RL Schild

2019 ◽  
Author(s):  
Vitaly Kuyukov

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.


1998 ◽  
Vol 63 (8) ◽  
pp. 1187-1201 ◽  
Author(s):  
Jaroslav Zamastil ◽  
Lubomír Skála ◽  
Petr Pančoška ◽  
Oldřich Bílek

Using the semiclassical approach for the description of the propagation of the electromagnetic waves in optically active isotropic media we derive a new formula for the circular dichroism parameter. The theory is based on the idea of the time damped electromagnetic wave interacting with the molecules of the sample. In this theory, the Lambert-Beer law need not be taken as an empirical law, however, it follows naturally from the requirement that the electromagnetic wave obeys the Maxwell equations.


Author(s):  
Josefina Vidal M ◽  
Macarena García O ◽  
Pedro Álvarez C

Abstract In the second half of the 1960s, prêt-à-porter (ready-to-wear) fashion was established in Chile. As an alternative to haute couture (high fashion), prêt-à-porter brought an eagerness for modernisation that was reflected in the setting up of a network of women-led boutiques, which developed strongly between 1967 and 1973. This article first examines the precedents that allowed for the creation of a ‘local fashion system’ that promoted collective work around trades such as knitting and dressmaking. It also analyses the arrangement of a circuit of boutiques in the comuna of Providencia, a strategic sector of Santiago de Chile (the capital city) that fostered the dynamics of social gathering. Later, the article describes the profile of the designer-entrepreneurs whose work was attuned to a female consumer segment that aimed to access a new formula of the modernising bourgeoisie. It also reassesses the rise of a movement called Moda Autóctona, which distanced itself from European fashion and was supported by the government during the socialist regime of Salvador Allende. Lastly, it tackles the eventual dismantling of this network of women’s fashion stores as a result of the installation of a military dictatorship in Chile.


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