Title
Theories, Sites, Toposes: Relating And Studying Mathematical Theories Through Topostheoretic 'Bridges'
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According To Grothendieck, The Notion Of Topos Is The Bed Or Deep River Where Come To Be Married Geometry And Algebra, Topology And Arithmetic, Mathematical Logic And Category Theory, The World Of The Continuous And That Of Discontinuous Or Discrete Structures. It Is What He Had Conceived Of Most Broad To Perceive With Finesse, By The Same Language Rich Of Geometric Resonances, An Essence Which Is Common To Situations Most Distant From Each Other, Coming From One Region Or Another Of The Vast Universe Of Mathematical Things.The Aim Of This Book Is To Present A Theory And A Number Of Techniques Which Allow To Give Substance To Grothendieck'S Vision By Building On The Notion Of Classifying Topos Educed By Categorical Logicians. Mathematical Theories (Formalized Within Firstorder Logic) Give Rise To Geometric Objects Called Sites; The Passage From Sites To Their Associated Toposes Embodies The Passage From The Logical Presentation Of Theories To Their Mathematical Content, I.E. From Syntax To Semantics.The Essential Ambiguity Given By The Fact That Any Topos Is Associated In General With An Infinite Number Of Theories Or Different Sites Allows To Study The Relations Between Different Theories, And Hence The Theories Themselves, By Using Toposes As 'Bridges' Between These Different Presentations. The Expression Or Calculation Of Invariants Of Toposes In Terms Of The Theories Associated With Them Or Their Sites Of Definition Generates A Great Number Of Results And Notions Varying According To The Different Types Of Presentation, Giving Rise To A Veritable Mathematical Morphogenesis.
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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What is the main focus of 'Theories, Sites, Toposes'? A: The book focuses on relating and studying mathematical theories through the lens of topos theory, exploring how different mathematical fields connect and interact.
- Q: Who is the author of this book? A: The author of 'Theories, Sites, Toposes' is Olivia Caramello.
- Q: What is the publication date of this book? A: The book was published on February 21, 2018.
- Q: What is the binding type of this book? A: This book is available in hardcover binding.
- Q: How many pages does 'Theories, Sites, Toposes' have? A: The book contains 336 pages.
- Q: What mathematical concepts are explored in this book? A: The book explores concepts such as topos theory, geometric objects called sites, and the relationships between different mathematical theories.
- Q: Is this book suitable for beginners in mathematics? A: The book is more suited for readers with a background in advanced mathematics, as it discusses complex concepts in category theory and logic.
- Q: What category does this book fall under? A: The book is categorized under Logic.
- Q: Are there any special features of this book? A: The book does not list specific features, as it primarily focuses on theoretical discussions and mathematical techniques.
- Q: What is the edition of this book? A: This book is the first edition.