SKU: 38788182842

Introduction to Topology: Second Edition

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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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SKU: 38788182842

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velvetlikesbooks
Natrona Heights, US
★★★★★ 3
Writing was decent, characters were decent, the plot was decent, and the spice was excellent
Format: Kindle
TL;DR: 3 stars, writing was decent, characters were decent, the plot was decent, and the spice was excellent. This is the second book I have read by Stone. I thought it was pretty mediocre with everything except the spice. The writing was okay, it wasn’t terribly descriptive or informative. I really hate how Stone constantly has the characters ask questions in their heads after a conversation. I don’t think that is a very good writing mechanism, and she does it frequently. The characters were fine. I don’t think they developed all that well. Jade seemed to work through her issues with her predatory professor, but it still seemed like she was a bit harsh afterward. Simone seemed to be pretty much the same all the way through. She was just less restrained at the end. The plot was fine, it wasn’t anything to call home about. It just seemed like a poorly developed mechanism to get the MCs together. The third act breakup was terrible. If you think someone is the love of your life, and they do something wrong that upsets you, then you don’t just run away. You work on it with them if they are willing. Simone was extremely apologetic and wanted to work through it was Jade, but Jade walked away. I honestly think that Jade was the one that should have tried to mend it because she was the one who walked away after Simone tried to work it out. The spice was very good in my opinion. I love a book with positive BDSM material. This book did not disappoint in that regard. The aftercare was also phenomenal. Overall, I would recommend this book if you want spice with a low plot line and character development.
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Reviewed in the United States on June 5, 2024
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Dan
Chelsea, US
★★★★★ 4
Not a bad story
Format: Kindle
I liked it. It was of course a lesbian romance, which I have no issues with. I thought for the most part the story was well written. One problem I did have was I can't understand why Jade can tell Simone about her past with Phillippa, but has a problem telling Simone she's going to meet her to basically tell Phillippa off. That to me doesn't make much sense. I mean she could have told Simone she was meeting her and that it was something she had to do by herself so she could move on. I just had a problem with it.
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Reviewed in the United States on February 14, 2024
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Kasai
New York, US
★★★★★ 5
simply amazing
Format: Kindle
The intimacy, the sapphic love, the connections across all of Anna Stones books is the perfect cocktail for an amazing read. Full of ups and downs and highlighting the raw beautiful power of women and bdsm in a positive manner that’s holds nothing but respect for all consenting parties. Again amazing.
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Reviewed in the United States on April 26, 2025
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HCLMSL
Grantham, US
★★★★★ 5
Another Wolf in the Syndicate??
Format: Kindle
Another thrilling read of Persephone Black and the amazing mafia romance. This is Ariadne’s story. She is now a recruit at the Syndicate even though she is beyond advanced but she has to earn her status. It’s kind of hard to do when she skips therapy, ices everyone out and is always on guard. Sunny is kind and warm and personable. Total opposites. They are paired to spar as a team and find that they move well together. They also seem to see more in each other than meets the eye. Well written and engaging read! Loved the pace and the spice flowed well with the story. Highly recommend!!
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Reviewed in the United States on May 14, 2025
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Tammy
Draper, US
★★★★★ 5
Good Book
Format: Kindle
Ariadne story is about her survival after Grandma's training. She is trying to reconnect with her feelings but is having a hard time she is the ice queen the perfect soldier. Sunny is popular funny and just vibrant everything Ariadne is not. Sunny is determined to break the ice, until things changed for her and then it's Ariadne that step up to help. A great story of two women coming together and surviving their pasts.
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Reviewed in the United States on May 27, 2025

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