SKU: 20200893887

Fixed Point Theorems and Their Applications

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Fixed Point Theorems and Their ApplicationsIntroduction 1. Early fixed point theorems. 1. 1. The Picard Banach theorem. 1. 2. Vector fields on spheres. 1. 3. Proof of the Brouwer theorem and corollaries. 1. 4. Fixed point theorems for groups of affine maps of [symbol] 2. Fixed point theorems in analysis. 2. 1. The Schader Tychonoff theorem. 2. 2. Applications of the Schader Tychonoff theorem. 2. 3. The theorems of Hahn, Kakutani and Markov Kakutani. 2. 4. Amenable groups 3. The Lefschetz fixed

Introduction -- 1. Early fixed point theorems. 1.1. The Picard-Banach theorem. 1.2. Vector fields on spheres. 1.3. Proof of the Brouwer theorem and corollaries. 1.4. Fixed point theorems for groups of affine maps of [symbol] -- 2. Fixed point theorems in analysis. 2.1. The Schaüder-Tychonoff theorem. 2.2. Applications of the Schaüder-Tychonoff theorem. 2.3. The theorems of Hahn, Kakutani and Markov-Kakutani. 2.4. Amenable groups -- 3. The Lefschetz fixed point theorem. 3.1. The Lefschetz theorem for compact polyhedra. 3.2. The Lefschetz theorem for a compact manifold. 3.3. Proof of the Lefschetz theorem. 3.4. Some applications. 3.5. The Atiyah-Bott fixed point theorem -- 4. Fixed point theorems in geometry. 4.1. Some generalities on Riemannian manifolds. 4.2. Hadamard manifolds and Cartan's theorem. 4.3. Fixed point theorems for compact manifolds -- 5. Fixed points of volume preserving maps. 5.1. The Poincaré recurrence theorem. 5.2. Symplectic geometry and its fixed point theorems. 5.3. Poincaré's last geometric theorem. 5.4. Automorphisms of Lie algebras. 5.5. Hyperbolic automorphisms of a manifold. 5.6. The Lefschetz zeta function -- 6. Borel's fixed point theorem in algebraic groups. 6.1. Complete varieties and Borel's theorem. 6.2. The projective and Grassmann spaces. 6.3. Projective varieties. 6.4. Consequences of Borel's fixed point. 6.5. Two conjugacy theorems for real linear Lie groups -- 7. Miscellaneous fixed point theorems. 7.1. Applications to number theory. 7.2. Fixed points in group theory. 7.3. A fixed point theorem in complex analysis -- 8. A fixed point theorem in set theory -- Afterword
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SKU: 20200893887

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Daisy l.
Omaha, US
★★★★★ 5
Love these
Size: 16 Inch, Color: White, Size: 16 Inch, Color: White
I love these shelves! The look good and the installation was super easy! They also seem very durable!
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Reviewed in the United States on May 7, 2026
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Micah
Natrona Heights, US
★★★★★ 4
Cheaply made.
Size: 16 Inch, Color: White
Looks nice. Feels cheap and does not hold much weight
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Reviewed in the United States on April 14, 2026
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Sherry
Carnegie, US
★★★★★ 5
Good shelves for the price can be challenging to install correctly
Size: 16 Inch, Color: White, Size: 16 Inch, Color: White
Good quality shelves for the price. Happy with the purchase. They give you assorted hardware to mount each shelf. Wall anchors for masonry or brick and anchors for drywall as well as screws to affix shelf to the wall bracket. The installation was fairly easy but it can be a bit difficult to get the bracket leveled on the wall. The “level” they give you is useless, it is only the tube - not in a housing, so 1 1/2” long. You will need a better level. Basically you place the bracket where you want the shelf to go then make sure it is level and take a pencil to mark the holes. We ended up using a heavier quality wall anchor so only needed 2 anchors instead of the four they send you. Once the bracket is on, slide the shelf onto the bars coming from the bracket and use the 2 set screws to secure it in place. Check for level and if it isn’t you can remove shelf and loosen bracket screws and wiggle the bracket while still attached while retightening screws. We had to re-level one of our shelves this way. Hope this helps and that it makes sense. As for weight capacity I wouldn’t want to put more than a couple of pounds on a shelf. As it is secure, it is hollow inside and too much weight would probably either cause the shelf to sag or damage your wall
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Reviewed in the United States on February 25, 2025
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Emy R.
Belleville, US
★★★★★ 5
Excellent product with height recommendation
Size: 24 Inch, Color: White, Size: 24 Inch, Color: White
My bathroom renovation is turning out great. These shelves are beautifully stable and show no visible assembly. The idea of ​​these floating shelves is brilliant.
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Reviewed in the United States on February 19, 2026
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Lisa Espinosa
Los Angeles, US
★★★★★ 5
Beautiful and sturdy
Size: 24 Inch, Color: White
Excellent quality shelves. All hardware came with them and also the stickers to cover the screws. I also placed a plant on one of the shelves and it’s not leaning and again very nice and secure.
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Reviewed in the United States on May 13, 2026

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