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Differential Topology
Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.
Popular Traditions of Glasgow
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Outer Spheres
How can such a bright future be so full of darkness? Beautiful young Charity Freestone has it all: the love of a good man, the revelation of her remarkable identity, and her family reunited after their spectacular battle with the Sons of the Crystal Mind. However, at her moment of triumph Charity is tricked into joining the mysterious New Form Enterprise, whose harsh regime seems designed to break her. Before she can learn their strange purpose, a shocking betrayal brings unique and terrifying freedom. Cut off from its advanced technology, Charity is hunted through war-torn, subterranean Diamond City by an enemy who is always closer than she thinks. As she struggles to make sense of her inhu...
An Introduction to Algebraic Topology
This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. 1961 edition.
Homology Theory on Algebraic Varieties
Concise and authoritative monograph, geared toward advanced undergraduate and graduate students, covers linear sections, singular and hyperplane sections, Lefschetz's first and second theorems, the Poincaré formula, and invariant and relative cycles. 1958 edition.
Sons of the Crystal Mind
In a far-future city, a young woman struggles to find out who she really is. But is it an evil conspiracy, or the secret that’s kept her alive? In the wealthiest part of subterranean techno-paradise Diamond City, Charity Freestone yearns to discover her true identity and escape the shadow of her beloved older sister, celebrity ‘People’s Princess’ Ursula. Despite being courted by the powerful elite, Charity knows there are things she isn’t being told, about secret control in a world without government, and strange uses of its miraculous creations. Her fears are confirmed by a devastating attack on her parents, and the realisation that she and Ursula are next. Pursued by a murderous ...
Algebraic Topology
Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.
