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Description
Introduction to Topology: Second EditionOne of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics. While there are many other works on introductory topology, this volume employs a methodology somewhat different from other texts. Metric space and point set topology material is treated in the first two chapters;
One of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics.While there are many other works on introductory topology, this volume employs a methodology somewhat different from other texts. Metric space and point-set topology material is treated in the first two chapters; algebraic topological material in the remaining two. The authors lead readers through a number of nontrivial applications of metric space topology to analysis, clearly establishing the relevance of topology to analysis. Second, the treatment of topics from elementary algebraic topology concentrates on results with concrete geometric meaning and presents relatively little algebraic formalism; at the same time, this treatment provides proof of some highly nontrivial results. By presenting homotopy theory without considering homology theory, important applications become immediately evident without the necessity of a large formal program.
Prerequisites are familiarity with real numbers and some basic set theory. Carefully chosen exercises are integrated into the text (the authors have provided solutions to selected exercises for the Dover edition), while a list of notations and bibliographical references appear at the end of the book.
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/16/1999
ISBN: 9780486406800
Pages: 256
Weight: 0.69lbs
Size: 9.20h x 6.15w x 0.48d
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★★★★★ 5
Love it
Model: 2 Pack Salt and Pepper Grinder, Model: 2 Pack Salt and Pepper Grinder
So far I’m loving it, it’s working great for me.
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Reviewed in the United States on June 6, 2026
★★★★★ 5
Great table ware.
Size: 1.7" x 5.1", Size: 1.7" x 5.1"
They are great to leave on the center piece of your table, nice quality, they look nice and work great. Easy to adjust the size of ingredient that you might need.
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Reviewed in the United States on May 7, 2026
★★★★★ 5
Perfect Compact Size and Smooth Efficient Grind
I absolutely love these salt and pepper grinders! They are perfectly-sized, less cumbersome than most 12"+ sized grinders. They're wide enough to hold more than it looks like they hold, which means less refilling required. The grind is smooth and flawless - it usually only takes me one quick single-hand- motion to season my plate. I use pink Himalayan salt, and black peppercorns, and can adjust it easily to suit my or my husband's grind preferences. These grinders are pretty enough to set out on a table for dinner guests, while being quick and efficient for ourselves.
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Reviewed in the United States on February 16, 2025
★★★★★ 5
Perfect Salt & Pepper Grinders
Size: 2.5" x 5.1"
Excellent design, size and function, plus they have CLEAR PLASTIC TOPS so you can easily see how much ground salt or pepper you have to sprinkle on your food. After using my first set I knew I needed another set for different combinations of pepper corns in particular. Oh, and they come with an extra set of ceramic grinding wheels (yes, ceramic, not plastic as a few reviewers falsely claim). Very smooth operation and adjustable from fine to coarse sizes. Here's my recommendation for use. First, use quality coarse salt and whole pepper corns. Second, don't grind with lid off over hot steaming food while cooking because the steam will negatively effects the salt and pepper in the grinders, the grind quality you get, and will ultimately clog the grinders. Just grind with lid on until you get the required amount (hence the need for the clear caps), open the caps and sprinkle. Easy peasy... ☺
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Reviewed in the United States on November 15, 2023
★★★★★ 4
Nice grinder set
Size: 2.5" x 5.1"
These are a really pretty grinder set. They work well, but after a bit they don't grind as well, and the tops try to come off. They are also NOT dishwasher safe. They will literally melt, even on the top shelf.
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Reviewed in the United States on December 28, 2024
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