Fuzzy Topology (V9)
SKU: 86491734958

Fuzzy Topology (V9)

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Description

Fuzzy Topology (V9)Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background processing fuzziness, and locale theory, proposed from the angle of pure mathematics by

Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background -- processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other.

This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called "pointed approach" and the effects of stratification structure appearing in fuzzy sets.

The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates.

 

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SKU: 86491734958

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Warren Norgaard
Lexington, US
★★★★★ 5
An Ice Cream Cone for Dogs Who Have Never Paid Taxes
Style: Frosty Cone, Size: Small (Pack of 1)
Bought this for my dog thinking it would provide “a few minutes of enrichment.” It became an event. The second I pulled this thing out of the freezer, my dog reacted like I had personally returned from a heroic quest carrying the sacred treasure of his ancestors. Absolute full-body joy. Olympic-level tail wagging. The rubber feels sturdy, the opening is easy to fill, and freezing treats inside keeps him occupied long enough for me to answer emails, drink coffee, and briefly remember who I was before becoming a full-time employee of a small furry creature. I’ve filled it with peanut butter, yogurt, treats, and one regrettable attempt involving pumpkin puree that turned my kitchen into a seasonal crime scene. Best part: it’s durable enough to survive enthusiastic chewing without immediately looking like it lost a fight with a lawn mower. Five stars. My dog now stares at the freezer with religious devotion.
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Reviewed in the United States on May 14, 2026
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kitka82
Port Orchard, US
★★★★★ 5
Great treat toy especially for frozen treats
Style: Chilly Penguin, Size: Medium/Large (Pack of 1)
This is cute! Very solid and chewable. To ensure a longer play time it does great for popping in the freezer after filling with peanut butter, yogurt, pumpkin, applesauce, broth, dog ice cream etc ... It's been so much cleaner and easier than putting it in a dish; the treat lasts longer and the dog is entertained longer. Whether frozen or not, this toy is very easy for my dog to get everything / lick clean. It's very easy to clean either putting in the top shelf of dishwasher or hand washing with a bottle brush. Treat of no treat, this is entertaining for my dog. He likes to simply run around with it in his mouth or randomly chew on it. This is different from his balls or bones because it's kind of flat and thin. Good buy and great to help cool him off from the warm weather.
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Reviewed in the United States on August 10, 2024
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Rosemarie
Phoenix, US
★★★★★ 4
Dogs love the treats hidden within
Style: Chilly Penguin, Size: Small (Pack of 1)
The treat holding penguin is ideal for feeding treats, frozen and otherwise, to your loving pets. I have put yogurt, applesauce, mashed bananas, and other treats inside the penguin. The puppies love licking the yummy treats out of the penguin. It occupies them for quite a while. The only thing is that they are not very easy to clean. I use a small soft brush after soaking them in hot water.
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Reviewed in the United States on December 7, 2025
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knittingon
Chelsea, US
★★★★★ 5
wonderful - best dog toy on the market!!
Style: Chilly Penguin, Size: Small (Pack of 1), Style: Chilly Penguin, Size: Small (Pack of 1)
my 10.6 lb shih tzu mix loves these. yes, they are durable. this is the third dog on some of them. i fill with diluted baby food mixed with 3 drops honey, carrots in todays, or peanut butter and a tad of jelly mixed with water, or water with unsalted cooked veggies like broccoli or cauliflower stems and carrot bits, or baked and mixed with water sweet potato. she eats just anout any vegetable. the water is to reduce calories as i had to take 3 lbs off her when i got her. and yes, they stack nicely. when i let her out of her crate, she looks and grabs it and puts it on the kitchen floor for a refill. her idea, not my training but i like it. this is an addition to my previous review. as far as i'm concerned, this is the best toy on the market for very small dogs. my dog has been at target weight for 2 years now and i restrict her treat calories to a strict 21 kcals daily. she is also now a working dog. i have now done frozen greek yogurt with apples and blueberry baby food diluted, kibble mixed in water. wet dog food diluted with water etc. i leave her in her crate with one and two cameras on her, one two way audio and she has stopped all barking and dutifully brings the toy and actually deposits it in my hand when i let her out of the crate. every 2-3 days it's like a new toy flavor and no toys have and tooth marks or anything on them. they're used daily. understand this lil 10.6 lb dog goes thru nylon power chews regularly so she's super capable of destroying toys but i think the little bit of food satisfies her with the penguin and 2 1/2 years in, she has no desire to destroy them. i now own 8 of these as 2 stay in her travel bag. we would be heartbroken if the company quit making these penguins. fantastic product. the small would even have worked for my 5 lb papillons had they made them then.
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Reviewed in the United States on November 15, 2022
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Glutton for books
Pawtucket, US
★★★★★ 5
Great durability and utility
Style: Chilly Penguin, Size: Medium/Large (Pack of 2)
I love the size of these and the sturdiness. I freeze bone broth and put it in the crate or give it to dogs when it gets warm out. To help them cool or help them with teething. They have decimated other holders of frozen liquid, but these have lasted well. They also do not get sharp edges when chewed on by English bulldogs.
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Reviewed in the United States on March 22, 2026

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