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Rational Homotopical Models and Uniqueness (Memoirs of the American Mathematical Society)

Rational Homotopical Models and Uniqueness (Memoirs of the American Mathematical Society)

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4.81
24,848 ratings · 4,238 reviews
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OFFICIAL VERIFIED

Rational Homotopical Models and Uniqueness (Memoirs of the American Mathematical Society)

Rational Homotopical Models and Uniqueness (Memoirs of the American Mathematical Society)

4.81 24,848 ratings · 4,238 reviews
Discover Rational Homotopical Models and Uniqueness (Memoirs of the American Mathematical Society) by Martin Majewski. Start reading today and explore ideas, insights, and experiences that stay with you.

Overview: The main goal of this paper is to prove the following conjecture of Baues and Lemaire: the differential graded Lie algebra associated with the Sullivan model of a space is homotopy equivalent to its Quillen model. In addition, the authors show the same for the cellular Lie algebra model which they build from the simplicial analogue of the classical Adams-Hilton model. It turns out that this cellular Lie algebra model is one link in a chain of models connecting the models of Quillen and Sullivan. The key result which makes all this possible is Anick's correspondence between differential graded Lie algebras and Hopf algebras up to homotopy.

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Details & Genres

Fiction Literature Bestseller Recommended
Length N/A pages
Published December, 1999
ISBN-13 2846375

More Books By: Martin Majewski


Martin Majewski
About the Author Martin Majewski
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Martin Majewski is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Martin Majewski can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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Margaret Williams
Margaret Williams March 22, 2024
I was pleasantly surprised. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
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A solid read. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
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Donna Reyes
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Laura Miller
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Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. Would probably read it again at some point.
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Sarah Taylor November 07, 2024
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Amanda King January 23, 2025
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Donald Evans
Donald Evans June 17, 2024
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Thomas Martin
Thomas Martin May 07, 2025
Really enjoyed this one. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Dorothy Gomez
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A very satisfying read. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Thomas  Davis
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Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Anthony Taylor
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Robert Brown
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Laura Gomez December 02, 2025
Glad someone recommended this to me. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Would probably read it again at some point.
Eric  Davis
Eric Davis February 15, 2024
Good, but not quite perfect. It held my attention, even if a few things were a little predictable. Enjoyable weekend read.
Rebecca Martinez
Rebecca Martinez January 01, 2025
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Nicholas Carter
Nicholas Carter February 27, 2024
Honestly one of the better books I've read lately. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
Matthew Harris
Matthew Harris March 06, 2024
I have mixed feelings about this one. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. A generous 3 stars.
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Richard Parker October 29, 2025
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
Amanda Baker
Amanda Baker January 15, 2024
A very satisfying read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
Carol Carter
Carol Carter May 14, 2025
I was pleasantly surprised. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Nicholas Rivera
Nicholas Rivera October 17, 2024
A solid read. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Not bad at all.
Edward Smith
Edward Smith June 14, 2025
Took me a few chapters to get into it, but it was worth it. I liked the main character, though some of the side plots were just okay. Still a good book.
Richard  Parker
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Took me a few chapters to get into it, but it was worth it. It held my attention, even if a few things were a little predictable. A solid 4 stars from me.
Stephanie Cruz
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Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Carol Baker
Carol Baker December 06, 2024
Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Ryan Jackson
Ryan Jackson July 04, 2024
I liked it for the most part. I liked the main character, though some of the side plots were just okay. I'd probably recommend it to a friend.
Andrew Sanchez
Andrew Sanchez May 24, 2025
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Donald Robinson
Donald Robinson February 04, 2025
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Margaret Johnson
Margaret Johnson September 12, 2024
Honestly one of the better books I've read lately. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
Nancy Perez
Nancy Perez July 31, 2024
Pretty good overall. I liked the main character, though some of the side plots were just okay. Still a good book.
Stephanie Lopez
Stephanie Lopez May 07, 2024
A solid read. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. A solid 4 stars from me.
Susan Ramirez
Susan Ramirez June 27, 2025
Really enjoyed this one. I got really invested in the main character's journey. Everything just clicked for me. Will be looking for more from this author.
David King
David King March 17, 2025
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Jessica Campbell
Jessica Campbell January 01, 2024
A solid read. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. A solid 4 stars from me.
Patricia Taylor
Patricia Taylor January 09, 2024
I liked it for the most part. I liked the main character, though some of the side plots were just okay. Not bad at all.
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