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Topology --- Combinatorial analysis --- Topological spaces --- Analyse combinatoire --- Espaces topologiques --- Topologie --- 515.122.2 --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Spaces, Topological --- Combinatorics --- Algebra --- Mathematical analysis --- Axiomatic theory of topological spaces. Compact spaces. Paracompact spaces. k-spaces --- 515.122.2 Axiomatic theory of topological spaces. Compact spaces. Paracompact spaces. k-spaces --- Topologie generale
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Operator theory --- Partial differential equations --- Pseudodifferential operators. --- Compact spaces. --- Manifolds (Mathematics) --- Opérateurs pseudo-différentiels. --- Espaces compacts. --- Variétés (mathématiques) --- Compact spaces --- Pseudodifferential operators --- Operators, Pseudodifferential --- Pseudo-differential operators --- Geometry, Differential --- Topology --- Spaces, Compact --- Topological spaces
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Homomorphisms (Mathematics) --- Function algebras --- Locally convex spaces --- Compact spaces --- Spaces, Compact --- Topological spaces --- Spaces, Locally convex --- Linear topological spaces --- Algebras, Function --- Analytic functions --- Banach algebras --- Functions --- Compact spaces. --- Function algebras. --- Locally convex spaces. --- Homomorphisms (Mathematics). --- Algèbres commutatives --- Algèbres commutatives --- Espaces localement convexes
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This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces. In 1948, E. Hewitt introduced the concept of pseudocompactness which generalizes a property of compact subsets of the real line. A topological space is pseudocompact if the range of any real-valued, continuous function defined on the space is a bounded subset of the real line. Pseudocompact spaces constitute a natural and fundamental class of objects in General Topology and research into their properties has important repercussions in diverse branches of Mathematics, such as Functional Analysis, Dynamical Systems, Set Theory and Topological-Algebraic structures. The collection of authors of this volume include pioneers in their fields who have written a comprehensive explanation on this subject. In addition, the text examines new lines of research that have been at the forefront of mathematics. There is, as yet, no text that systematically compiles and develops the extensive theory of pseudocompact spaces, making this book an essential asset for anyone in the field of topology.
Mathematics. --- Topological groups. --- Lie groups. --- Topology. --- Topological Groups, Lie Groups. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Groups, Topological --- Continuous groups --- Math --- Science --- Compact spaces. --- Topological spaces. --- Spaces, Topological --- Spaces, Compact --- Topological spaces --- Topological Groups.
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Living and working in extra-terrestrial habitats means being potentially vulnerable to very harsh environmental, social, and psychological conditions. With the stringent technical specifications for launch vehicles and transport into space, a very tight framework for the creation of habitable space is set. These constraints result in a very demanding “partnership” between the habitat and the inhabitant. This book is the result of researching the interface between people, space and objects in an extra-terrestrial environment. The evaluation of extra-terrestrial habitats in comparison to the user’s perspective leads to a new framework, comparing these buildings from the viewpoint of human activity. It can be used as reference or as conceptual framework for the purpose of evaluation. It also summarizes relevant human-related design directions. The work is addressed to architects and designers as well as engineers.
Architecture -- Philosophy. --- Architecture. --- Space vehicles --- Large space structures (Astronautics) --- Aerospace engineering --- Astronautics --- Architecture --- Mechanical Engineering --- Engineering & Applied Sciences --- Aeronautics Engineering & Astronautics --- Design and construction --- Human factors --- Compact spaces. --- Design and construction. --- Spaces, Compact --- Engineering. --- Industrial design. --- Aerospace engineering. --- Astronautics. --- Industrial psychology. --- Aerospace Technology and Astronautics. --- Industrial Design. --- Industrial, Organisational and Economic Psychology. --- Topological spaces --- Architectural design. --- Applied psychology. --- Industrial and Organizational Psychology. --- Applied psychology --- Psychagogy --- Psychology, Practical --- Social psychotechnics --- Psychology --- Design --- Structural design --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Business psychology --- Industrial psychology --- Psychotechnics --- Industrial engineering --- Personnel management --- Psychology, Applied --- Industrial psychologists --- Design, Industrial --- Mechanical drawing --- New products --- Aeronautical engineering --- Engineering
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The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered. Emphasis on the relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. Nonlinear Waves and Solitons on Contours and Closed Surfaces provides graduate students and researchers in mathematics, physics and engineering with a ready tutorial and reference.
Nonlinear waves --- Solitons --- Compact spaces. --- Mathematics. --- Spaces, Compact --- Topological spaces --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of --- Waves --- Differentiable dynamical systems. --- Mechanics. --- Global differential geometry. --- Mathematical physics. --- Complex Systems. --- Dynamical Systems and Ergodic Theory. --- Classical Mechanics. --- Differential Geometry. --- Mathematical Methods in Physics. --- Fluid- and Aerodynamics. --- Physical mathematics --- Physics --- Geometry, Differential --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Mathematics --- Statistical physics. --- Dynamical systems. --- Dynamics. --- Ergodic theory. --- Differential geometry. --- Physics. --- Fluids. --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Hydraulics --- Hydrostatics --- Permeability --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Differential geometry --- Mathematical statistics --- Statistical methods
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This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated.
Nonlinear waves --- Solitons --- Compact spaces. --- Mathematics. --- Spaces, Compact --- Physics. --- Differential geometry. --- Fluids. --- Amorphous substances. --- Complex fluids. --- Surfaces (Physics). --- Interfaces (Physical sciences). --- Thin films. --- Statistical physics. --- Nonlinear Dynamics. --- Differential Geometry. --- Mathematical Methods in Physics. --- Fluid- and Aerodynamics. --- Soft and Granular Matter, Complex Fluids and Microfluidics. --- Surface and Interface Science, Thin Films. --- Topological spaces --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of --- Waves --- Global differential geometry. --- Mathematical physics. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Physical mathematics --- Physics --- Geometry, Differential --- Mathematics --- Films, Thin --- Solid film --- Solid state electronics --- Solids --- Surfaces (Technology) --- Coatings --- Thick films --- Surface chemistry --- Surfaces (Physics) --- Complex liquids --- Fluids, Complex --- Amorphous substances --- Liquids --- Soft condensed matter --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Differential geometry --- Mathematical statistics --- Statistical methods
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