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Field name	Details
Title	Higher-Dimensional Generalized Manifolds: Surgery and Constructions ([EBook] /) / Alberto Cavicchioli, Friedrich Hegenbarth, Dušan D. Repovš
Author	Cavicchioli, Alberto
Added Personal Name	Hegenbarth, Friedrich
Added Personal Name	Repovš, Dušan D.
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2016
Physical Details	1 online resource (154 pages)
Series	EMS Series of Lectures in Mathematics (ELM) 2523-5176
ISBN	9783037196564
Summary Note	Generalized manifolds are a most fascinating subject to study. They were introduced in the 1930s, when topologists tried to detect topological manifolds among more general spaces (this is nowadays called the manifold recognition problem). As such, generalized manifolds have served to understand the nature of genuine manifolds. However, it soon became more important to study the category of generalized manifolds itself. A breakthrough was made in the 1990s, when several topologists discovered a systematic way of constructing higher-dimensional generalized manifolds, based on advanced surgery techniques. In fact, the development of controlled surgery theory and the study of generalized manifolds developed in parallel. In this process, earlier studies of geometric surgery turned out to be very helpful. Generalized manifolds will continue to be an attractive subject to study, for there remain several unsolved fundamental problems. Moreover, they hold promise for new research, e.g. for finding appropriate structures on these spaces which could bring to light geometric (or even analytic) aspects of higher-dimensional generalized manifolds. This is the first book to systematically collect the most important material on higher-dimensional generalized manifolds and controlled surgery. It is self-contained and its extensive list of references reflects the historic development. The book is based on our graduate courses and seminars, as well as our talks given at various meetings, and is suitable for advanced graduate students and researchers in algebraic and geometric topology.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/156
See Also	https://www.ems-ph.org/img/books/cavicchioli_mini.jpg
Links to Related Works	Subject References: Category Theory, Homological Algebra . Manifolds and Cell Complexes . theory . Topology . Authors: author . Cavicchioli, Alberto . Hegenbarth, Friedrich . Repovš, Dušan D. . Series: EMS Series of Lectures in Mathematics (ELM) .

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Higher-Dimensional Generalized Manifolds: Surgery and Constructions

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