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Synopsis
The main subject of this book is singular homology, the simplest instrument of algebraic topology. In studying this theory and its applications, the book also investigates parts of other disciplines that form its underlying structural layout: homological algebra, homotopy theory, and category theory. The cohomology theories of Alexander–Spanier, Čech, and de Rham are also presented.
This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with minimal prerequisites — basic general topology and little else — and a moderate progression, starting with a very elementary beginning.
A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions. The book can be used as a textbook for a first course in algebraic topology or for self-study, and also as a reference book for further study.
It is based on a previous version, which has been entirely reviewed, adding several presentations of advanced subjects, and exploring more deeply the interplay of homology and homotopy.
"synopsis" may belong to another edition of this title.
About the Author
Marco Grandis Retired Professor of Mathematics at the Università di Genova. He is the author of eight books on algebraic topology, homological algebra, category theory, mathematical structures, and manifolds.
"About this title" may belong to another edition of this title.
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A Structural Introduction To Algebraic Topology: A Reference Book
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A STRUCTURAL INTRODUCTION TO ALGEBRAIC TOPOLOGY: A REFERENCE BOOK (Hardcover)
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Hardcover. Condition: new. Hardcover. The main subject of this book is singular homology, the simplest instrument of algebraic topology. In studying this theory and its applications, the book also investigates parts of other disciplines that form its underlying structural layout: homological algebra, homotopy theory, and category theory. The cohomology theories of AlexanderSpanier, Cech, and de Rham are also presented. This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with minimal prerequisites basic general topology and little else and a moderate progression, starting with a very elementary beginning. A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions. The book can be used as a textbook for a first course in algebraic topology or for self-study, and also as a reference book for further study.It is based on a previous version, which has been entirely reviewed, adding several presentations of advanced subjects, and exploring more deeply the interplay of homology and homotopy. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9789819830442
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A Structural Introduction To Algebraic Topology: A Reference Book
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A STRUCTURAL INTRODUCTION TO ALGEBRAIC TOPOLOGY: A REFERENCE BOOK
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Hardback. Condition: New. The main subject of this book is singular homology, the simplest instrument of algebraic topology. In studying this theory and its applications, the book also investigates parts of other disciplines that form its underlying structural layout: homological algebra, homotopy theory, and category theory. The cohomology theories of Alexander-Spanier, Cech, and de Rham are also presented. This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with minimal prerequisites - basic general topology and little else - and a moderate progression, starting with a very elementary beginning. A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions. The book can be used as a textbook for a first course in algebraic topology or for self-study, and also as a reference book for further study.It is based on a previous version, which has been entirely reviewed, adding several presentations of advanced subjects, and exploring more deeply the interplay of homology and homotopy. Seller Inventory # LU-9789819830442
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A STRUCTURAL INTRODUCTION TO ALGEBRAIC TOPOLOGY: A REFERENCE BOOK (Hardcover)
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Hardcover. Condition: new. Hardcover. The main subject of this book is singular homology, the simplest instrument of algebraic topology. In studying this theory and its applications, the book also investigates parts of other disciplines that form its underlying structural layout: homological algebra, homotopy theory, and category theory. The cohomology theories of AlexanderSpanier, Cech, and de Rham are also presented. This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with minimal prerequisites basic general topology and little else and a moderate progression, starting with a very elementary beginning. A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions. The book can be used as a textbook for a first course in algebraic topology or for self-study, and also as a reference book for further study.It is based on a previous version, which has been entirely reviewed, adding several presentations of advanced subjects, and exploring more deeply the interplay of homology and homotopy. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9789819830442
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STRUCTURAL INTRODUCTION TO ALGEBRAIC TOPOLOGY, A
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Buch. Condition: Neu. STRUCTURAL INTRODUCTION TO ALGEBRAIC TOPOLOGY, A | Grandis Marco | Buch | Englisch | 2026 | World Scientific | EAN 9789819830442 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. Seller Inventory # 135769397
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