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 Free Download Topological Invariants of Stratified Spaces by M. Banagl English | PDF (True) | 2007 | 266 Pages | ISBN : 3540385851 | 2.5 MB The homology of manifolds enjoys a remarkable symmetry: Poincaré duality. If the manifold is triangulated, then this duality can be established by associating to a s- plex its dual block in the barycentric subdivision. In a manifold, the dual block is a cell, so the chain complex based on the dual blocks computes the homology of the manifold. Poincaré duality then serves as a cornerstone of manifold classi cation theory. One reason is that it enables the de nition of a fundamental bordism inva- ant, the signature. Classifying manifolds via the surgery program relies on modifying a manifold by executing geometric surgeries. The trace of the surgery is a bordism between the original manifold and the result of surgery. Since the signature is a b- dism invariant, it does not change under surgery and is thus a basic obstruction to performing surgery. Inspired by Hirzebruch's signature theorem, a method of Thom constructs characteristic homology classes using the bordism invariance of the s- nature. These classes are not in general homotopy invariants and consequently are ne enough to distinguish manifolds within the same homotopy type. Singular spaces do not enjoy Poincaré duality in ordinary homology. After all, the dual blocks are not cells anymore, but cones on spaces that may not be spheres. This book discusses when, and how, the invariants for manifolds described above can be established for singular spaces.  Free Download Topologia differenziale: Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Urbino (Pesaro), Italy, July 2-12, 1962 by E. Vesentini Français | PDF (True) | 2011 | 122 Pages | ISBN : 364210987X | 7.8 MB J. Cerf: Invariants des paires d´espaces. Applications à la topologie differentielle.- A. Häfliger: Variétés feuilletées.- M.A. Kervaire: La méthode de Pontryagin pour la classification des applications sur une sphère.- S. Smale: Stable manifolds for differential equations and diffeomorphisms.  Free Download Topical Drifts in Intelligent Computing: Proceedings of International Conference on Computational Techniques and Applications (ICCTA 2021) by Jyotsna Kumar Mandal English | PDF,EPUB | 2022 | 625 Pages | ISBN : 9811907447 | 144 MB This book gathers a collection of high-quality peer-reviewed research papers presented at International Conference on Computational Techniques and Applications (ICCTA 2021), organized by the Electronics and Telecommunication Engineers (IETE), Kolkata Center, India, during 8 - 9 October 2021. This includes research in the areas of intelligent computing and communication systems including computing, electronics, green energy design, communications, computers to interact and disseminate information on latest developments both academically and industrially for computational drifts. The three main tracks are (i) computing in network security, AI and data science; (ii) contemporary issues in electronics, and communication technology; and (iii) intelligent computing in electrical power, control systems and energy technology.  Free Download Tools for Landscape-Scale Geobotany and Conservation by Franco Pedrotti English | EPUB | 2021 | 451 Pages | ISBN : 3030749495 | 218.6 MB This book contains the papers presented at the conferences of the International Association Vegetation Science of Pirenopolis (2016) on Applied Mapping for Conservation and Management: from Plant and of Palermo (2017) on Vegetation Patterns in relation to multi-scale levels of ecological complexity: from associations to geoseries.
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