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Description
Toposes and Local Set Theories: An IntroductionTopos theory has led to unexpected connections between classical and constructive mathematics. This text explores Lawvere and Tierney's concept of topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. A virtually self contained introduction, this volume presents toposes as the models of theories known as local set theories formulated within a
Topos theory has led to unexpected connections between classical and constructive mathematics. This text explores Lawvere and Tierney's concept of topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. A virtually self-contained introduction, this volume presents toposes as the models of theories -- known as local set theories -- formulated within a typed intuitionistic logic.The introductory chapter explores elements of category theory, including limits and colimits, functors, adjunctions, Cartesian closed categories, and Galois connections. Succeeding chapters examine the concept of topos, local set theories, fundamental properties of toposes, sheaves, locale-valued sets, and natural and real numbers in local set theories. An epilogue surveys the wider significance of topos theory, and the text concludes with helpful supplements, including an appendix, historical and bibliographical notes, references, and indexes.
Binding Type: Paperback
Publisher: Dover Publications
Published: 01/11/2008
ISBN: 9780486462868
Pages: 267
Weight: 0.65lbs
Size: 8.41h x 5.51w x 0.56d
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★★★★★ 5
Will buy again
Color: Non-Squeaky - Pack of 12, Size: Medium
Great tennis balls for our 2 year old dog. Durable enough for moderate chewer’s
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Reviewed in the United States on March 22, 2026
★★★★★ 5
Perfect size
Color: Non-Squeaky - Pack of 12, Size: Medium, Color: Non-Squeaky - Pack of 12, Size: Medium
Safe to say the size is perfect for large dogs. Great to chew on or play catch with.
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Reviewed in the United States on May 30, 2026
★★★★★ 3
Didn’t hold up for large dog
Color: Non-Squeaky - Pack of 12, Size: Medium
Nothing like original tennis balls
My dog had it busted open within hrs of playing catch. But she’s big and likes to chomp on them also
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Reviewed in the United States on April 3, 2026
★★★★★ 5
Heavy chewer approved.
Style: Ball, Size: Medium (Pack of 1)
My pomsky will destroy a toy in minutes. Ropes, and the "indestructible" nylon type stuffs are no match for my furry shark. This ball has stood up to him like David. He loves the crunch and it is so much more tolerable than a squeaker. These will be a staple in his toy box - Chuckit toys are really the most durable dog toys I have found in three years.
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Reviewed in the United States on April 26, 2026
★★★★★ 5
Fun Ball
Style: Ball, Size: Medium (Pack of 2)
Great new ball for our pup. He loves the sound of the crunch!
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Reviewed in the United States on May 25, 2026