On Two-dimensional Analysis Situs PDF Download
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Author: Dudley Weldon Woodard
Publisher:
ISBN:
Category : Ballot
Languages : en
Pages : 452
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Book Description
Author: Dudley Weldon Woodard
Publisher:
ISBN:
Category : Ballot
Languages : en
Pages : 452
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Book Description
Author: James Singer
Publisher:
ISBN:
Category : Topology
Languages : en
Pages : 34
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Book Description
Author: James Singer
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
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Book Description
Author: Oswald Veblen
Publisher:
ISBN:
Category : Topology
Languages : en
Pages : 164
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Book Description
Author: American Mathematical Society. Colloquium
Publisher:
ISBN:
Category : Functional equations
Languages : en
Pages : 170
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Book Description
Author: Oswald Veblen
Publisher:
ISBN:
Category : Parapsychology
Languages : en
Pages : 218
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Book Description
'Analysis situs' is the name used by Poincaré when he was creating, at the end of the 19th century, the area of mathematics known today as topology. These lectures contain what is probably the first text where Poincaré's results and ideas were summarized, and an attempt to systematically present this difficult new area of mathematics was made. Of the two streams of topology existing at that time, point set topology and combinatorial topology, it is the latter to which this book is almost totally devoted. The first four chapters present, in detail, the notion and properties (introduced by Poincaré) of the incidence matrix of a cell decomposition of a manifold. The author's main goal is to show how to reproduce main topological invariants of a manifold and their relations in terms of the incidence matrix.
Author: Lewis Darwin Ames
Publisher:
ISBN:
Category : Topology
Languages : en
Pages : 50
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Book Description
Author: Hermann Weyl
Publisher: Courier Corporation
ISBN: 048613167X
Category : Mathematics
Languages : en
Pages : 210
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Book Description
This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.
Author: Stanford University
Publisher:
ISBN:
Category :
Languages : en
Pages : 232
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Book Description
Author: Cynthia Hog-Angeloni
Publisher: Cambridge University Press
ISBN: 0521447003
Category : Mathematics
Languages : en
Pages : 428
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Book Description
Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.
