Scott-representability of some spaces of Tall and Miskin

[EN] In this paper we show that a variation of a technique of Miskin and Tall yields a cocompact completely regular Moore space that is Scott-domain-representable and has a closed Gδ-subspace that is not Scott-domain-representable. This clarifies the general topology of Scott-domain-representable spaces and raises additional questions about Scott-domain representability in Moore spaces.Bennet, H.; Lutzer, D. (2008). Scott-representability of some spaces of Tall and Miskin. Applied General Topology. 9(2):281-292. doi:10.4995/agt.2008.1807.SWORD28129292J. Aarts, J. deGroot and R. McDowell, Cocompactness, Nieuw Archief voor Wiskungid 36 (1970), 2–15.J. Aarts and D. Lutzer, Completeness Properties Designed for Recognizing Baire Spaces, Dissertationes Mathematicae 116 (1974), 1–45.Bennett, H., & Lutzer, D. (2006). Domain-representable spaces. Fundamenta Mathematicae, 189(3), 255-268. doi:10.4064/fm189-3-3H. Bennett and D. Lutzer, Domain representability of certain complete spaces, Houston J. Math, to appear. H. Bennett, D. Lutzer and G. M. Reed, Domain representability and the Choquet game in Moore and BCO-spaces, Topology and its Applications, to appear.Estill, M. E. (1950). Concerning abstract spaces. Duke Mathematical Journal, 17(4), 317-327. doi:10.1215/s0012-7094-50-01730-3Kopperman, R., Künzi, H.-P. A., & Waszkiewicz, P. (2004). Bounded complete models of topological spaces. Topology and its Applications, 139(1-3), 285-297. doi:10.1016/j.topol.2003.12.001Martin, K. (2003). Topological games in domain theory. Topology and its Applications, 129(2), 177-186. doi:10.1016/s0166-8641(02)00147-5Martin, K., Mislove, M. W., & Reed, G. M. (2002). Topology and Domain Theory. Recent Progress in General Topology II, 371-394. doi:10.1016/b978-044450980-2/50014-5V. Miskin, The Amsterdam properties in Moore spaces, Colloq. Math Soc. Janos Bolyai 41 (1983), 427–439.Tall, F. D. (1973). A counterexample in the theories of compactness and of metrization. Indagationes Mathematicae (Proceedings), 76(5), 471-474. doi:10.1016/1385-7258(73)90072-

Measurement in Economics and Social Science

The paper discusses measurement, primarily in economics, from both analytical and historical perspectives. The historical section traces the commitment to ordinalism on the part of economic theorists from the doctrinal disputes between classical economics and marginalism, through the struggle of orthodox economics against socialism down to the cold-war alliance between mathematical social science and anti-communist ideology. In economics the commitment to ordinalism led to the separation of theory from the quantitative measures that are computed in practice: price and quantity indexes, consumer surplus and real national product. The commitment to ordinality entered political science, via Arrow’s ‘impossibility theorem’, effectively merging it with economics, and ensuring its sterility. How can a field that has as its central result the impossibility of democracy contribute to the design of democratic institutions? The analytical part of the paper deals with the quantitative measures mentioned above. I begin with the conceptual clarification that what these measures try to achieve is a restoration of the money metric that is lost when prices are variable. I conclude that there is only one measure that can be embedded in a satisfactory economic theory, free from unreasonable restrictions. It is the Törnqvist index as an approximation to its theoretical counterpart the Divisia index. The statistical agencies have at various times produced different measures for real national product and its components, as well as related concepts. I argue that all of these are flawed and that a single deflator should be used for the aggregate and the components. Ideally this should be a chained Törnqvist price index defined on aggregate consumption. The social sciences are split. The economic approach is abstract, focused on the assumption of rational and informed behavior, and tends to the political right. The sociological approach is empirical, stresses the non-rational aspects of human behavior and tends to the political left. I argue that the split is due to the fact that the empirical and theoretical traditions were never joined in the social sciences as they were in the natural sciences. I also argue that measurement can potentially help in healing this split

Multi-Nation WPT Demonstration Experiments

A project originating with Georgia Institute of Technology is described in which the International Space Station (ISS) serves as an experimental platform for the relay of energy from space to earth. The multi-nation test will feature the transmission of small amounts of solar-generated electric power from the ISS using millimeter waves, for the purposes of collecting atmospheric propagation data and testing technologies for power beaming, aiming, and reception. This initiative represents an early first-step towards installation of a global Space Solar Power Grid emphasizing international collaboration, synergy with the terrestrial energy industry and with retail power beaming markets. The technical paper on which this visualization is based is listed in References below. Advisors: Prof. N. Komerath, Prof. D. Flournoy, Kyle Perkins (Designer) Five-Nation - Broadband from Space Journal on Vimeo

A História da Alimentação: balizas historiográficas

Os M. pretenderam traçar um quadro da História da Alimentação, não como um novo ramo epistemológico da disciplina, mas como um campo em desenvolvimento de práticas e atividades especializadas, incluindo pesquisa, formação, publicações, associações, encontros acadêmicos, etc. Um breve relato das condições em que tal campo se assentou faz-se preceder de um panorama dos estudos de alimentação e temas correia tos, em geral, segundo cinco abardagens Ia biológica, a econômica, a social, a cultural e a filosófica!, assim como da identificação das contribuições mais relevantes da Antropologia, Arqueologia, Sociologia e Geografia. A fim de comentar a multiforme e volumosa bibliografia histórica, foi ela organizada segundo critérios morfológicos. A seguir, alguns tópicos importantes mereceram tratamento à parte: a fome, o alimento e o domínio religioso, as descobertas européias e a difusão mundial de alimentos, gosto e gastronomia. O artigo se encerra com um rápido balanço crítico da historiografia brasileira sobre o tema

Intensity-modulated radiation therapy (IMRT) reduces small bowel, rectum, and bladder doses in patients with cervical cancer receiving pelvic and para-aortic irradiation

Purpose: The emergent use of combined modality approach (chemotherapy and radiation therapy) for the treatment of patients with cervical cancer is associated with significant gastrointestinal and genitourinary toxicity. Intensity-modulated radiation therapy (IMRT) has the potential to deliver adequate dose to the target structures while sparing the normal organs and could also allow for dose escalation to grossly enlarged metastatic lymph node in pelvic or para-aortic area without increasing gastrointestinal/genitourinary complications. We conducted a dosimetric analysis to determine if IMRT can meet these objectives in the treatment of cervical cancer. Methods and Materials: Computed tomography scan studies of 10 patients with cervical cancer were retrieved and used as anatomic references for planning. Upon the completion of target and critical structure delineation, the imaging and contour data were transferred to both an IMRT planning system (Corvus, Nomos) and a three-dimensional planning system (Focus, CMS) on which IMRT as well as conventional planning with two- and four-field techniques were derived. Treatment planning was done on these two systems with uniform prescription, 45 Gy in 25 fractions to the uterus, the cervix, and the pelvic and para-aortic lymph nodes. Normalization was done to all IMRT plans to obtain a full coverage of the cervix with the 95% isodose curve. Dose-volume histograms were obtained for all the plans. A Student’s t test was performed to compute the statistical significance. Results: The volume of small bowel receiving the prescribed dose (45 Gy) with IMRT technique was as follows: four fields, 11.01 ± 5.67%; seven fields, 15.05 ± 6.76%; and nine fields, 13.56 ± 5.30%. These were all significantly better than with two-field (35.58 ± 13.84%) and four-field (34.24 ± 17.82%) conventional techniques ( p < 0.05). The fraction of rectal volume receiving a dose greater than the prescribed dose was as follows: four fields, 8.55 ± 4.64%; seven fields, 6.37 ± 5.19%; nine fields, 3.34 ± 3.0%; in contrast to 84.01 ± 18.37% with two-field and 46.37 ± 24.97% with four-field conventional technique ( p < 0.001). The fractional volume of bladder receiving the prescribed dose and higher was as follows: four fields, 30.29 ± 4.64%; seven fields, 31.66 ± 8.26%; and nine fields, 26.91 ± 5.57%. It was significantly worse with the two-field (92.89 ± 35.26%) and with the four-field (60.48 ± 31.80%) techniques ( p < 0.05). Conclusion: In this dosimetric study, we demonstrated that with similar target coverage, normal tissue sparing is superior with IMRT in the treatment of cervical cancer

The cankerworms /

no.1238 (1924