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Description
Introduction to Topology: Third EditionHighly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary
Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean n-space and which lead to the ordinary topology. Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness. Throughout the text, Dr. Mendelson, a former Professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.Binding Type: Paperback
Publisher: Dover Publications
Published: 07/01/1990
ISBN: 9780486663524
Pages: 224
Weight: 0.51lbs
Size: 8.41h x 5.44w x 0.45d
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4.1 ★★★★★
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★★★★★ 5
Shark dog approved
Size: Large, Color: Broccoli, Size: Large, Color: Broccoli
My new baby shark.... I mean puppy really enjoys chewing. I can't just give her a ton of pig ears or bully sticks all day, which she would definitely love, so I'm constantly looking for well made chew toys. I'd put this right up with Kong. Very durable and nice. I also love the different textures, she seems to also love it. She can gnaw at the top and chew on the stem. She wanted it as soon as I opened it - it does smell like bacon but I haven't taken a chomp at it to be able to write a complete review!
My dog is about 23 lbs but I can see a 80 lb dog chew this, it's not small.
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Reviewed in the United States on October 8, 2025
★★★★★ 4
So cute
Size: Large, Color: Pumpkin
My French Bulldogs have really strong jaws and are aggressive chewers. These really are sturdy and last a good amount of time. They are a bit heavy and awkward for my dogs to hold onto but they do like them.
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Reviewed in the United States on April 25, 2026
★★★★★ 5
Cute toy and super tough!
Size: Small, Color: Lobster
My small dog is a serious chewer, and this lobster toy has been holding up great. Usually, he destroys toys within a day, but this one’s still going strong after a couple of weeks. The shape is perfect — easy for him to grab and chew, and the little claws keep him entertained.
The filet mignon flavor must be good because he goes right for it every time. It’s sturdy without being too hard on his teeth, and it doesn’t leave any mess or pieces behind.
If you’ve got a small but mighty chewer, this one’s definitely worth it. Cute design, lasts forever, and keeps my pup busy — total win. 🦞🐾
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Reviewed in the United States on October 26, 2025
★★★★★ 5
Excellent toy
Size: X-Large, Color: Lobster
Very durable. Dog who has destroyed every toy ever purchased loves this and it is still in great condition.
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Reviewed in the United States on April 21, 2026
★★★★★ 3
Cheese the Day with Nylabone's Power Chew Cheese Chew Toy!
Size: X-Large, Color: Cheese
As a devoted dog parent, I've always believed that our furry friends deserve the best, especially when it comes to their favorite pastime—chewing! Nylabone's Power Chew Cheese Chew Toy is a game-changer that's added an extra layer of excitement to our dog's chewing routine.
**Chew-Tastic Design:**
First things first, the cheese-inspired shape of this chew toy is a hit in our household. Our dog can't resist its quirky design, and it's become a beloved addition to his chew toy collection. It's like a fun surprise every time he reaches for it!
**Flavor Pockets for Fun:**
What truly sets this chew toy apart is its flavor pockets. We fill them with spreadable treats, turning regular chew time into an epic adventure. Our dog absolutely loves the challenge of getting every last bit of treat, and it keeps him engaged for hours.
**Dental Health Bonus:**
Beyond the fun factor, the unique textures on this toy serve a dual purpose. Not only do they provide extra sensory enjoyment for our pup, but they also help clean his teeth as he chews. It's a win-win for both entertainment and dental health.
**Built to Last:**
Now, let's talk durability. Our dog is a power chewer, and this toy has proven to be up to the challenge. Made from Nylabone's most robust material, it's stood the test of time, promoting healthy chewing habits and saving our furniture from destruction.
**Satisfaction All Around:**
This chew toy isn't just for our dog's enjoyment; it brings joy to our family too. Seeing our furry friend so engaged and happy is priceless. It satisfies his natural urge to chew while teaching him healthy chewing habits.
**A Flavorful Experience:**
Did I mention the cheese flavor? It runs throughout the toy, adding another layer of enjoyment for our pup. It's like a delicious treat that never ends!
**Perfect for Big Dogs:**
As the proud parent of an extra-large dog, we opted for the "Souper" size, designed for dogs over 50 pounds. It's the perfect size for our gentle giant.
In conclusion, Nylabone's Power Chew Cheese Chew Toy has become an integral part of our dog's life. It's more than just a chew toy; it's an adventure, a dental health solution, and hours of entertainment all rolled into one. We've embraced the mantra of "Cheese the Day" with this fantastic chew toy, and we wholeheartedly recommend it to fellow dog parents looking to add more joy and flair to their furry friend's life!
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Reviewed in the United States on October 27, 2023