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Description
Principles of TopologyTopology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the
Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis.Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text.
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/17/2016
ISBN: 9780486801544
Pages: 336
Weight: 1.05lbs
Size: 9.20h x 6.20w x 0.70d
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★★★★★ 5
Great kids' shoe — easy on, comfy all day
Size: 3 Little Kid, Color: Pink/Lavender
My kid has been wearing these for a few weeks now and I'm genuinely impressed with how well they've held up. The knit mesh upper keeps feet cool and comfortable during long days at school and outdoor play, and the cushioned EVA midsole does a great job absorbing impact.
What really won me over is the slip-on design with elasticated laces and dual pull tabs — my child can put them on and take them off completely independently, which is a huge win. The fit is snug but not tight, and they run a bit roomy in width, which is great for kids with wider feet or those who need a little growing room.
At $32, the quality feels solid for the price. Lightweight, breathable, and easy to wear — these check all the boxes for an everyday kids' shoe.
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Reviewed in the United States on May 23, 2026
★★★★★ 5
Cute, Comfortable, Light-Weight Shoes, Perfect for School
Size: 11 Little Kid, Color: Pink/Lavender, Size: 11 Little Kid, Color: Pink/Lavender
These have turned out to be great everyday shoes for my 5 year old. She normally wears a size 10, but since that size wasn’t available, I ordered the 11 expecting her to grow into them. I was pleasantly surprised that they already fit her pretty well. There’s still a little extra room in the toe area, but the shoes fit securely around her ankles so they don’t feel loose or slip off while walking or playing.
She says they’re very comfortable and loves how easy they are to slip on by herself. The lightweight design is nice for everyday wear, and they’ve held up well so far despite being worn almost daily. They've become her favorite shoes to wear! Also the pink/lavender color is really pretty in person. Overall, I’m very happy with them and would order again.
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Reviewed in the United States on May 13, 2026
★★★★★ 5
Great shoe well made
Size: 13 Little Kid, Color: Pink/Lavender, Size: 13 Little Kid, Color: Pink/Lavender
Really good shoes at a fair price. My daughter loves the pink and purple gradient colors. Really beautiful. Shoes have proven themselves very durable. She's been wearing these a few times a week for the last couple months and they still look new aside from some dirt stains. Fit perfectly. Very comfortable. This is always her first pick in the morning when she's getting dressed. Good breathability you can wear these in hot summer weather without sweaty feet. Versatile shoe looks good enough to wear out and about or exercise in.
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Reviewed in the United States on May 16, 2026
★★★★★ 3
Runs large
Size: 7 Big Kid, Color: White
Runs very large.
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Reviewed in the United States on June 5, 2026
★★★★★ 5
a little roomy for narrow feet.
Size: 6 Big Kid, Color: Black/Black
Nice shoes. My little one has narrow feet so they are a little lose. Overall, a nice shoe.
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Reviewed in the United States on June 4, 2026