102,363 research outputs found
On Tychonoff-type Hypertopologies.
No full textIn 1975, M. M. Choban \cite{C} introduced a new topology on the set
of all closed subsets of a topological space, similar to the Tychonoff topology but weaker than it. In 1998, G. Dimov and D. Vakarelov \cite{DV} used a generalized version of this new topology, calling it Tychonoff-type topology. The present paper is devoted to a detailed study of Tychonoff-type topologies on an arbitrary family \MM of subsets of a set . When \MM contains all singletons, a description of all Tychonoff-type topologies \OO on \MM is given. The continuous maps of a special form between spaces of the type (\MM,\OO) are described in an isomorphism theorem. The problem of {\em commutability between hyperspaces and subspaces with respect to a Tychonoff-type topology} is investigated as well. Some topological properties of the hyperspaces (\MM,\OO) with Tychonoff-type topologies \OO are briefly discussed
Extensions of the stone duality to the category of Boolean spaces and continuous maps
No full textUsing our results from [4], we present a new proof of the extension of the Stone duality theorem to the category BooleSp of zero-dimensional locally compact Hausdorff spaces (= Boolean spaces) and continuous maps that was provided by Dimov [3], and obtain two new duality theorems for the category BooleSp
Cognitive support for older people from multimedia options
No full textIf older users of multimedia displays could select among presentation options, would they choose display combinations that supported their performance? After three short touch-screen tasks which measured the perceptual and cognitive abilities of 50 older adults, they answered questions about a route on an online map that could be accompanied by written and/or spoken text. Half the participants saw animated routes; and they were less accurate answering questions than those who saw static routes but this did not affect people’s multimedia choices which, although diverse, were systematic. Spoken text was more often selected by people who had lower scores on the spatial working memory task, than by the older adults with higher scores. This suggests that older people with cognitive limitations recognise ways in which multimedia information can be supportive
Frames and Grids
No full textM. Barr and M.C. Pedicchio (4) introduced the category Grids of grids in order to show the opposite of the category Top of topological spaces is a quasivariety. J. Adamek and M.c. Pedicchio proved in (2) that there exist a duality D between the category TopSys of topological systems (defined by S.Vickers (11) and the category Grids. In both papers (4) and (2) a description of the full subcategory D(Top) of the category Grids is given. In this paper we describe internally all grids isomorphic to the objects of the full coreflective subcategory D(Loc) of the category Grids, i.e. we characterize internally all grids of the form D(C), where C is a localis topological system (here Loc is the category of locales regarded as a full subcategory of TopSys (see 11). Since, obviously, the category Frm of frames is equivalent to D(Loc), we can say that in this paper those grids which could be called frames are characterized internally. An internal chacterization of all grids which correspond (in the above sense) to the frames having T1 spectra and a generalization of the well-known facty that the spectrum of a locale is a sober space are obtained as well
Thin-wall injection molding of polypropylene using molds with different laser-induced periodic surface structures
No full textIn injection molding, high pressure is required to completely replicate the mold geometry, due to the viscosity of thermoplastic polymers, the reduced thickness of the cavity, and the low mold temperature. The reduction of the drag required to fill a thin-wall injection molding cavity can be promoted by inducing the strong slip of the polymer melt over the mold surface, which occurs within the first monolayer of macromolecules adsorbed at the wall. In this work, the effects of different laser-induced periodic surface structures (LIPSS) topographies on the reduction of the melt flow resistance of polypropylene were characterized. Ultrafast laser processing of the mold surface was used to manufacture nano-scale ripples with different orientation and morphology. Moreover, the effects of those injection molding parameters that mostly affect the interaction between the mold surface and the molten polymer were evaluated. The effect of LIPSS on the slip of the polymer melt was modeled to understand the effect of the different treatments on the pressure required to fill the thin-wall cavity. The results show that LIPPS can be used to treat injection mold surfaces to promote the onset of wall slip, thus reducing the injection pressure up to 13%. POLYM. ENG. SCI., 59:1889–1896, 2019. © 2019 Society of Plastics Engineers
Hausdorff compactifications and zero-one measures - II
No full textThe notion of PBS-sublattice is introduced and, using it, a simplification of the results of [6] and of some results of [5] is obtained. Two propositions concerning Wallman-type compactifications are presented as well
02 Andante (Joseph Haydn: Sinfonie Nr. 8 G-Dur „Le Soir“) [7:05] (KD 23, 1 CD)
No full textStück: Andante
Werk: Sinfonie Nr. 8 G-Dur „Le Soir“
Komposition: Joseph Haydn (1732 - 1809)
Interpret*innen: Albana Laci, Andras Homoki (Violine), Martin Dimov (Violoncello) Andor M. Vinczi (Kontrabass), Georg Pammer (Cembalo); Ensemble KlangImPuls, Dirigent: Wolfgang Schmid
Album: Ensemble KlangImPuls Haydn & Gubaidulina, 2002 (KUG KD 23, 1 CD) © Kunstuniversität GrazStück: Andante
Werk: Sinfonie Nr. 8 G-Dur „Le Soir“
Komposition: Joseph Haydn (1732 - 1809)
Interpret*innen: Albana Laci, Andras Homoki (Violine), Martin Dimov (Violoncello) Andor M. Vinczi (Kontrabass), Georg Pammer (Cembalo); Ensemble KlangImPuls, Dirigent: Wolfgang Schmid
Album: Ensemble KlangImPuls Haydn & Gubaidulina, 2002 (KUG KD 23, 1 CD) © Kunstuniversität Gra
01 Allegro molto (Joseph Haydn: Sinfonie Nr. 8 G-Dur „Le Soir“) [4:22] (KD 23, 1 CD)
No full textStück: Allegro molto
Werk: Sinfonie Nr. 8 G-Dur „Le Soir“
Komposition: Joseph Haydn (1732 - 1809)
Interpret*innen: Albana Laci, Andras Homoki (Violine), Martin Dimov (Violoncello) Andor M. Vinczi (Kontrabass), Georg Pammer (Cembalo); Ensemble KlangImPuls, Dirigent: Wolfgang Schmid
Album: Ensemble KlangImPuls Haydn & Gubaidulina, 2002 (KUG KD 23, 1 CD) © Kunstuniversität GrazStück: Allegro molto
Werk: Sinfonie Nr. 8 G-Dur „Le Soir“
Komposition: Joseph Haydn (1732 - 1809)
Interpret*innen: Albana Laci, Andras Homoki (Violine), Martin Dimov (Violoncello) Andor M. Vinczi (Kontrabass), Georg Pammer (Cembalo); Ensemble KlangImPuls, Dirigent: Wolfgang Schmid
Album: Ensemble KlangImPuls Haydn & Gubaidulina, 2002 (KUG KD 23, 1 CD) © Kunstuniversität Gra
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