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Description
An Introduction to Stability TheoryThis introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A
This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types.Binding Type: Paperback
Publisher: Dover Publications
Published: 11/24/2008
ISBN: 9780486468969
Pages: 146
Weight: 0.45lbs
Size: 9.00h x 6.00w x 0.40d
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4.5 ★★★★★
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Product Reviews
★★★★★ 5
My dogs favorite toy!
Color: Blue & Yellow Eel Bundle
This is my Jack Chi and Yorkies favorite toys (it helps when they get 5 mini milk bones). It is a tough toy, but not impervious to a Jack Chi determination to remove all squeekiees! Squeekie or not, it's still their favorite toy for tug-a-war.
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Reviewed in the United States on April 7, 2026
★★★★★ 4
Fun Toy
Color: No Stuffing Blue Eel, Color: No Stuffing Blue Eel
My dog loves this toy. It has 2 squeaky & also has crinkly sound along with the slots for treats. However it is not very durable. The treat slots were pretty much destroyed with the first use. I'm still giving it a 4 star because it is so fun & entertaining for my GSD.
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Reviewed in the United States on November 30, 2024
★★★★★ 3
Kept puppy interested!... Till she chewed it apart in 5 minutes
Color: No Stuffing Blue Eel, Color: No Stuffing Blue Eel
I'll start off by saying this is a really unique toy. You really can hide treats in the pocket and the velcro is strong enough to roll it up that it won't come undone easily. The different textures and sounds interest my puppy! And she LOVES it!
But it didn't last long with her. She LOVES rope toys and ripping them apart and eating it. I literally had just given it to her and not even a minute later (not joking), she had torn off a row of the rope-like part. 5 minutes later, the tail is already in shambles lol
So long story short, great and interesting toy to keep the doggy from being bored. Maybe not so great for aggressive chewers/rippers in the long term. More than likely will be torn to shreds by the end of the day.
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Reviewed in the United States on September 26, 2025
★★★★★ 5
Great quality, fun design.
Color: No Stuffing Blue Eel
Wonderfully durable.. We have a 3 y/o australian kelpey and a 2 y/o pitty.. both are incredibly playful and tear up toys like nobody's business. A lot of the time under a day.. We're on day three with this eel, they love it and its holding firm (no tears or missing pieces). Squeakers are their favorite and these ones are perfect ( prominent but not too loud)
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Reviewed in the United States on March 23, 2026
★★★★★ 5
Sturdy
Color: No Stuffing Blue Eel
It’s has held up pretty good for my aggressive chewer dog. She typically tore these types of toys apart immediately. One of the ears she pulled off right away but the toy itself has stayed intakes (so far). It keeps her occupied long enough and she drags it everywhere with her.
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Reviewed in the United States on April 16, 2026