201,601 research outputs found
The Bestvina-Edwards theorem and the Hilbert-Smith conjecture
No full textWe prove a number of results surrounding the Borsuk-Ulam-type conjecture of Baum, Dabrowski, and Hajac (BDH, for short), which states that given a free action of a compact group G on a compact space X, there are no G-equivariant maps X * G -> X (with * denoting the topological join). Mainly, we prove the BDH conjecture for locally trivial principal G-bundles. The proof relies on the nonexistence of G-equivariant maps G*(n+1) -> G*n, which in turn is a strengthening of an unpublished result of Bestvina and Edwards. Moreover, we show that the BDH conjecture partially settles a conjecture of Ageev which implies the weak version of the Hilbert-Smith conjecture stating that no infinite compact zero-dimensional group can act freely on a manifold so that the orbit space is finite-dimensional
Reverend M. J. Dabrowski, and Reverend Kazimierz Glogowski
No full textReverends M. J. Dabrowski, left, and Kazimierz Glogowski, are shown reviewing notes on their lives and liberation at Dachau concentration camp during the Holocaust April 29, 1945, which they planned to put into written form. Published in the evening edition, April 28, 1950.https://mavmatrix.uta.edu/specialcollections_startelegram1950s/3588/thumbnail.jp
Ukraine at a Crossroads
No full textThe Orange Revolution in the fall of 2004 built great hopes for a better future for Ukraine. However, three years later those hopes have been replaced by disappointment, frustration and confusion. Although progress in the areas of political freedom, pluralism, civil rights and freedom in the media remains unquestionable the record of economic, institutional and legal reforms is much more problematic. The key macroeconomic indicators are not better than they were few years ago and the business climate has barely improved. The WTO accession process remains incomplete. The perspectives of Euro-Atlantic integration are continually subject to heated domestic political controversies. The political situation remains unstable, mostly due to the hasty constitutional changes that were adopted during the Orange Revolution. The purpose of this paper is to analyze the state of the Ukrainian economy at the end of 2007 and reflect upon what kind of reform program the Ukrainian government should consider, regardless of its political color. The reforms suggested in this paper involve a broad agenda of macroeconomic, social, structural and institutional measures. This agenda goes beyond the purely economic sphere and also addresses issues of legal, administrative and political reforms. The politics and political economy of any future reform effort will not be easy because the country is deeply divided in political, cultural, regional and ethnic terms. In such an environment, crucial reforms and strategic decisions will require a wider cross-party political consensus.Ukraine, Orange Revolution, CIS, transition, European Naighborhood Policy, Euro-Atlantic integration
A Finite quantum symmetry of M(3,c)
No full textThe 27-dimensional Hopf algebra A(F), defined by the exact sequence of quantum groups A(SL(2,C)) −→ A(SLq(2)) −→ A(F), q = e 3 , is studied as a finite quantum group symmetry of the matrix algebra M (3, C), describing the color sector of Alain Connes’ formulation of the Standard Model. The duality with the Hopf algebra H, investigated in a recent work by Robert Coquereaux, is established and used to define a representation of H on M(3,C) and two commuting representations of H on A(F)
Introduction: drawing lessons from international policy-transfer initiatives in regional and urban development and spatial planning
No full textThe collection of papers in this issue brings new insights to the processes of international policy transfer and learning in the fields of regional and urban development policy, regional innovation and transit-oriented development. It explores, through the perspective of different disciplines, the motivations of actors, tangible and non-tangible outputs, the role of factors affecting the process, and the spillover effects of such process. The contributions bring new insights into what represents success and failure in policy transfer and provide valuable lessons for policy-makers facing the challenges of a fast-changing global context.Spatial Planning and Strateg
Spin structures, spinors and the Dirac operator: real versus complex manifolds
No full textWe describe the relation between spin-structures, spinors and the Dirac operator on a (real) manifold and the analogous definitions in complex holomorphic terms. This may be useful for physicists interested in the algebraic geometric approach to superstrings
A Hermeneutic Historical Study of Kazimierz Dabrowski and his Theory of Positive Disintegration
No full textThe inquiry is a hermeneutic historical study of the historical factors in the life of Kazimierz Dabrowski which contributed to the shaping of his Theory of Positive Disintegration. Relatively little information has been written on the life and theory of Kazimierz Dabrowski. The researcher contends that knowledge of Dabrowski, the man, will aid in an understanding of his theory.
The journey in which an individual "develops" to the level at which "the other" becomes a higher concern than the self, is the "stuff" of Kazimierz Dabrowski's Theory of Positive Disintegration. It is a paradoxical theory of human development, based on the premise that "good can follow from bad." Crisis and suffering act as the propellents into an internal as well as external battle with self and environment to move out of the "what is" and travel to the "what ought to be." Illuminated within this study, is how the life of Dabrowski demonstrates this moral and psychic struggle.
Data collection for this qualitative study was accomplished over a four year period through a "deep" reading of the works of Dabrowski and a search for biographical material. The researcher was the first to utilize a ten volume file on Dabrowski housed in the National Archives of Ottawa in Canada which houses a plethora of Dabrowski's books and papers. The researcher, following a hermeneutic research approach, traveled to Poland to "walk in Dabrowski's footsteps." Within this journey, the researcher utilized the facilities of many archives in Poland - at libraries, and within prisons. Given the researcher's Polish heritage, a basic knowledge of the Polish language aided the researcher greatly in these endeavors. The journey served to deepen the researcher's understanding of Dabrowski, the man - his history and his country. Finally, the researcher interviewed several of Dabrowski's friends, co-authors, students and associates.
This study serves as a baseline endeavor for additional research. The researcher's purpose was to aid in understanding Dabrowski - the man and his theory. The research journey was an attempt by the researcher to keep alive and renew interest in a theory of human development that is in danger of being forgotten.Ph. D
Gauge transformations of spectral triples with twisted real structures
No full textTwisted real structures are well-motivated as a way to implement the conformal transformation of a Dirac operator for a real spectral triple without needing to twist the noncommutative one-forms. We study the coupling of spectral triples with twisted real structures to gauge fields, adopting Morita equivalence via modules and bimodules as a guiding principle and paying special attention to modifications to the inner fluctuations of the Dirac operator. In particular, we analyze the twisted first-order condition as a possible alternative to abandoning the first-order condition in order to go beyond the standard model and elaborate upon the special case of gauge transformations accordingly. Applying the formalism to a toy model, we argue that under certain physically motivated assumptions, the spectral triple based on the left–right symmetric algebra should reduce to that of the standard model of fundamental particles and interactions, as in the untwisted case.
Abstract algebra, Noncommutative geometry, Operator theory, C*-algebra, Beyond the Standard Model, Standard Model, Gauge theory, Hilbert spac
Four Clusters o fThought on Flood Resilience and Climate Adaptation: The state of the art and new directions for spatial planning
No full textThe need to respond to increasing flood risk, climate change, and rapid urban development has shaped innovative policies and practices of spatial planning in many countries over recent decades. As an instrumental–technical intervention, planning is mainly used to improve the physical environment (through concepts such as regulating waterproof facades of architecture, setting buffering zones, and designing green-blue corridors). However, the implementation of the proposed physical interventions is often challenging and necessitates assistance from practices such as climate assessment, policy disciplines, civil societies, and economic resources. These extensive perspectives have spawned many new research domains in the realm of spatial planning. This chapter provides a review of the recent developments in flood resilience, risk management, and climate adaptation; based on this, it positions planning research and practice within these works of literature. Four clusters of thought are identified, mainly in the European and American scholarship of the last two decades. They are environmental concerns, disaster management concerns, socio-economic concerns, and institutional concerns. Current planning research concentrates on disaster management in the underlying belief that planning is functionally efficient. The attention to environmental concerns, socio-economic concerns, and institutional concerns of planning research remains insufficient but has been growing. This, in turn, enlarges the scope of planning research and indicates future directions for study. These new concerns relate to spatial planning’s ability to operate effectively in a multi-sectoral setting, despite limited resources and in the face of uncertain risk.Spatial Planning and Strateg
- …
