167 research outputs found
''Menger Hotel,'' San Antonio, Texas
No full textThis view of the famous Menger Hotel in San Antonio was taken by A. F. Dignowity, the son of author, daguerreotypist, and physician Anthony Michael Dignowity. Dignowity operated for a relatively short period of time, and his work is uncommon. Source: Lawrence T. Jones III.Attributed to: Dignowity, A. F. (Anthony Francis), 1844-1921. Verso: [handwritten in ink] ''Menger Hotel'' San Antonio Texas
On the Menger and almost Menger properties in locales
No full text[EN] The Menger and the almost Menger properties are extended to locales. Regarding the former, the extension is conservative (meaning that a space is Menger if and only if it is Menger as a locale), and the latter is conservative for sober TD-spaces. Non-spatial Menger (and hence almost Menger) locales do exist, so that the extensions genuinely transcend the topological notions. We also consider projectively Menger locales, and show that, as in spaces, a locale is Menger precisely when it is Lindelöf and projectively Menger. Transference of these properties along localic maps (via direct image or pullback) is considered.The second-named author acknowledges funding from the National Research Foundation of South Africa under Grant 113829.Bayih, T.; Dube, T.; Ighedo, O. (2021). On the Menger and almost Menger properties in locales. Applied General Topology. 22(1):199-221. https://doi.org/10.4995/agt.2021.14915OJS199221221R. N. Ball and J. Walters-Wayland, C- and C*-quotients in pointfree topology, Dissert. Math. (Rozprawy Mat.) 412 (2002), 1-62. https://doi.org/10.4064/dm412-0-1B. Banaschewski and C. Gilmour, Pseudocompactness and the cozero part of a frame, Comment. Math. Univ. Carolin. 37 (1996), 579-589B. Banaschewski and A. Pultr, Variants of openness, Appl. Categ. Structures 2 (1994), 331-350. https://doi.org/10.1007/BF00873038M. Bonanzinga, F. Cammaroto and M. Matveev, Projective versions of selection principles, Topology Appl. 157 (2010), 874-893. https://doi.org/10.1016/j.topol.2009.12.004C. H. Dowker and D. Strauss, Paracompact frames and closed maps, in: Symposia Mathematica, Vol. XVI, pp. 93-116 (Convegno sulla Topologia Insiemistica e Generale, INDAM, Rome, 1973) Academic Press, London, 1975.C. H. Dowker and D. Strauss, Sums in the category of frames, Houston J. Math. 3 (1976), 17-32.T. Dube, M. M. Mugochi and I. Naidoo, Cech completeness in pointfree topology, Quaest. Math. 37 (2014), 49-65. https://doi.org/10.2989/16073606.2013.779986T. Dube, I. Naidoo and C. N. Ncube, Isocompactness in the category of locales, Appl. Categ. Structures 22 (2014), 727-739. https://doi.org/10.1007/s10485-013-9341-8M. J. Ferreira, J. Picado and S. M. Pinto, Remainders in pointfree topology, Topology Appl. 245 (2018), 21-45. https://doi.org/10.1016/j.topol.2018.06.007J. Gutiérrez García, I. Mozo Carollo and J. Picado, Normal semicontinuity and the Dedekind completion of pointfree function rings, Algebra Universalis 75 (2016), 301-330. https://doi.org/10.1007/s00012-016-0378-zW. He and M. Luo, Completely regular proper reflection of locales over a given locale, Proc. Amer. Math. Soc. 141 (2013), 403-408. https://doi.org/10.1090/S0002-9939-2012-11329-2P. T. Johnstone, Stone Spaces, Cambridge University Press, Cambridge, 1982.D. Kocev, Menger-type covering properties of topological spaces, Filomat 29 (2015), 99-106. https://doi.org/10.2298/FIL1501099KJ. Madden and J. Vermeer, Lindelöf locales and realcompactness, Math. Proc. Camb. Phil. Soc. 99 (1986), 473-480. https://doi.org/10.1017/S0305004100064410J. Picado and A. Pultr, Frames and Locales: topology without points, Frontiers in Mathematics, Springer, Basel, 2012. https://doi.org/10.1007/978-3-0348-0154-6J. Picado and A. Pultr, Axiom and the Simmons sublocale theorem, Comment. Math. Univ. Carolin. 60 (2019), 701-715.J. Picado and A. Pultr, Notes on point-free topology, manuscript.T. Plewe, Sublocale lattices, J. Pure Appl. Algebra 168 (2002), 309-326. https://doi.org/10.1016/S0022-4049(01)00100-1V. Pták, Completeness and the open mapping theorem, Bull. Soc. Math. France 86 (1958), 41-74. https://doi.org/10.24033/bsmf.1498Y.-K. Song, Some remarks on almost Menger spaces and weakly Menger spaces, Publ. Inst. Math. (Beograd) (N.S.) 112 (2015), 193-198. https://doi.org/10.2298/PIM150513031SJ. J. C. Vermeulen, Proper maps of locales, J. Pure Appl. Algebra 92 (1994), 79-107. https://doi.org/10.1016/0022-4049(94)90047-
Results on Expansion Maps in Fuzzy Menger Space via Property-(E.A) and (E.A)-like Property
No full textThe main goal of this paper is to establish two results in fuzzy menger space by using property-(E.A), (E.A) like property and occasionally weakly compatible mappings. Furthermore these results are justified with proper examples.These are generalization of the theorem proved by Diwan and others.
Note on the origin of money according to Menger and the “invisible hand explanations"
No full textEn esta breve nota el autor analiza la bien conocida teoría de Menger sobre el origen del dinero, interpretada como una expresión de la creencia en la actuación de fuerzas automáticas en la economía, con la interrelación con las “explicaciones de la mano invisible” de Adam Smith. Sin embargo, al analizar los conceptos de ciencia, de la economía y del dinero de Menger, el autor muestra el alcance limitado de dichas explicaciones.In this briefly note, the author analyzes Menger's well-known theory of the origin of money, interpreted as an expression of the belief in the action of automatic forces in the economy, interrelated with Adam Smith's "invisible hand explanations". However, by analyzing Menger’s concepts of science, economy, and money, the author shows the limited scope of those explanations.Fil: Crespo, Ricardo Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Instituto de Altos Estudios; Argentin
Methodology of Carl Menger and its interpretations
No full textAlthough economic theory of the founder of Austrian School of Economics, Carl Menger, is widely acknowledged (marginal utility theory), his methodological writings are analysed less often. The author claims Mengerian methodology brings many valuable ideas which have influenced methodological thought of economists in the 20th century too. The article is primarily concerned with the Menger's main methodological work - Untersuchungen über die Methode der Sozialwissenschaften (1883). Many philosophical interpretations (at most aristotelian) of Mengerian methodology are discussed. The fundamental merit of Menger's methodology is seen in precision distinguishing between history and theory and between the realistic-empirical orientation and the exact orientation of theoretical research.realistic-empirical orientation of theoretical research, exact orientation of theoretical research, Austrian School of Economics, methodological individualism, methodology of economic science, philosophical assumptions
The Construction of the Origami Level-n Menger Sponge Complement by the PJS Technique
No full textIn 2015, the author developed a new origami technique, called PJS technique (where PJS stands for “pleat and join strips”), by which we can construct polycubes, that are polyhedrons composed of elementary cubes, called units, connected face to face. Each strip, pleated in squares, has to cover four faces of a tower of stacked units, called a segment, having as length the number of units that form the tower. Each unit is composed by weaving together three paper strips in the three spatial directions and the length of each strip depends on the length of the segment in each respective direction. The PJS technique allowed the author to build, at the end of 2016, the first specimen of a level-4 origami Menger sponge and three yeas later, the first level-3 complement model. In this paper, we give a formula to compute the number of segments that make up a level-n Menger sponge complement in all directions and consequently, the number of modules needed for each length to build this polycube with the PJS technique
De la division du travail musical
No full textPierre-Michel Menger
On the division of musical labour.
The mythology of unhappy and creative artistic consciousness is still a live, and goes along with a contrasted division of roles, ascribing to sociology the description, in miserabilist terms, of the external conditions of artistic life, and to aesthetics, the priviledge of grasping art's internal peculiarity. On the basis of a historical analysis of the production and diffusion conditions of musical work during the XIXth and XXth centuries, the author shows that, contrary to that view, one and the same trend of evolution has engendered a growing success of moderns interpretors of classical works of the past, and the progressive shrinking of the musical innovators' market. Yet, while the market diffuses past works, the State takes musical creator in charge.La mythologie de la conscience artistique, créatrice et malheureuse est toujours vivace, et s'accorde tout à fait avec une distribution des rôles tranchée, qui renvoie la sociologie à la description misérabiliste des conditions sociales externes de la vie d'artiste, et réserve à l'esthétique le privilège de saisir l'art dans sa singularité et sa vérité internes. En s' appuyant sur l'histoire des conditions de production et de diffusion des œuvres musicales aux XIXe et XXe siècles, l'auteur démontre l'inanité de ce partage et la cohérence d'un mécanisme qui a engendré simultanément et paradoxalement la prépondérance de la demande des œuvres du passé sur le marché musical et la croissance corrélative de l' interprétariat et de la concurrence renouvelée entre les interprètes, le confinement de la création dans une course à l'innovation scandée de ruptures permanentes, et le rétrécissement corrélatif d'un marché libre où l'offre de musique nouvelle trouverait un public suffisant. Mais si le marché diffuse le passé, l'Etat prend en charge l'innovation.Menger Pierre-Michel. De la division du travail musical. In: Sociologie du travail, 25ᵉ année n°4, Octobre-décembre 1983. Les professions artistiques. pp. 475-488
Menger curve and Spherical CR uniformization of a closed hyperbolic 3-orbifold
No full textLet be a hyperbolic group with
boundary the Menger curve. J. Granier \cite{Granier} constructed a discrete,
convex cocompact and faithful representation of into
. We show the 3-orbifold at infinity of is a
closed hyperbolic 3-orbifold, with underlying space the 3-sphere and singular
locus the -coned chain-link . This answers the second
part of Misha Kapovich's Conjecture 10.6\cite{Kapovich}.Comment: 28 pages. arXiv admin note: text overlap with arXiv:1401.0308 by
other author
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