Fiber bundles

Pullback bundle

In mathematics, a pullback bundle or induced bundle is the fiber bundle that is induced by a map of its base-space. Given a fiber bundle π : E → B and a continuous map f : B′ → B one can define a "pullback" of E by f as a bundle f*E over B′. The fiber of f*E over a point b′ in B′ is just the fiber of E over f(b′). Thus f*E is the disjoint union of all these fibers equipped with a suitable topology. (Wikipedia).

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Pulleys - A Level Physics

A review of pulleys, mechanical advantage, an inclined surface and gears. This is not part of the physics syllabus for many A level boards, but may be included in some Applied Maths courses.

From playlist Classical Mechanics

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Slider crank mechanism with satellite pulley

The diameter of the big pulley is double the one of the green pulley. The length of each crank = R The slider's stroke = 4R The belt should be toothed. It is possible to use chain drive instead of belt one. STEP files of this video: http://www.mediafire.com/file/frn0cmys8sedruy/SliderCrank

From playlist Mechanisms

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How to make a pulley (and a little leg pulling)

A sometimes humorous video on how to make a pulley. I show how to do it using plastic (acrylic), wood and cardboard. For the plastic one I show the use of a scroll saw. Also see this video on how to make pulley belts: http://youtu.be/qfn7mVd2lMs - http://rimstar.org

From playlist All Science and Electronics

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Physics Ch. 5.5 Pulley's and Mechanical Advantage (4 of 10) Example 4

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will find F=? of a 5-pulley system attached to the ceiling with a mass W=100N. Ex. 4 Previous video in this series can be seen at

From playlist PHYSICS 5.5 PULLEYS AND MECHANICAL ADVANTAGE

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What is General Relativity? Lesson 58: Scalar Curvature Part 7: Pullback and Pushforward

What is General Relativity? Lesson 58: Scalar Curvature Part 7: Pullback and Pushforward This lecture covers the pullback of convector fields. Also, we cast pushforwards and pullbacks in terms of coordinate charts. Please consider supporting this channel via Patreon: https://www.patreon

From playlist What is General Relativity?

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The Pulley - Simple Machines

This physics video tutorial provides a basic introduction into the pulley - a simple machine that offers a mechanical advantage by increasing the force needed to lift an object through the use of tension acting through a rope. My Website: https://www.video-tutor.net Patreon Donations: h

From playlist New Physics Video Playlist

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Simple Machines (1 of 7) Pulleys; Defining Forces, Distances and MA

For the pulley simple machine this video defines the terms input and output force, input and output distance and mechanical advantage. A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as the simplest mechanis

From playlist Mechanics

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Physics - Mechanics: Applications of Newton's Second Law (16 of 20) pulley combination

Visit http://ilectureonline.com for more math and science lectures! In this video I will show you how to calculate the force needed to pull up a system of 1 mass attached to 2 pulleys.

From playlist PHYSICS - MECHANICS

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Daxin Xu - Parallel transport for Higgs bundles over p-adic curves

Faltings conjectured that under the p-adic Simpson correspondence, finite dimensional p-adic representations of the geometric étale fundamental group of a smooth proper p-adic curve X are equivalent to semi-stable Higgs bundles of degree zero over X. We will talk about an equivalence betwe

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

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Cable drive 5

The green pulleys are identical. The yellow pulleys are identical. The blue cable with two fixed ends wraps round the green pulleys. The black cable with two fixed ends wraps round the yellow pulleys. Four vertical cable branches must be parallel. The pink slider has vertical translational

From playlist Mechanisms

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E. Floris - Birational geometry of foliations on surfaces (Part 1)

The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

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Charles Rezk - 3/4 Higher Topos Theory

Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/RezkNotesToposesOnlinePart3.pdf In this series of lectures I will give an introduction to the concept of "infinity

From playlist Toposes online

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Simon Brain: The Gysin Sequence for Quantum Lens Spaces

This is a joint with Francesca Arici and Giovanni Landi. We construct an analogue of the Gysin sequence for circle bundles, now for q-deformed lens spaces in the sense of Vaksman-Soibelman. Our proof that the sequence is exact relies heavily on the non commutative APS index theory of Care

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

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Will Sawin - Bounding the stalks of perverse sheaves in characteristic p via the (...)

The sheaf-function dictionary shows that many natural functions on the F_q-points of a variety over F_q can be obtained from l-adic sheaves on that variety. To obtain upper bounds on these functions, it is necessary to obtain upper bounds on the dimension of the stalks of these sheaves. In

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

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Introduction to Fiber Bundles Part 5.2: Steenrod's Theorem (Proof)

This is about reductions of structure groups of fiber bundles. There is a nice way to parametrize the reductions.

From playlist Fiber bundles

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The K-ring of Steinberg varieties - Pablo Boixeda Alvarez

Geometric and Modular Representation Theory Seminar Topic: The K-ring of Steinberg varieties Speaker: Pablo Boixeda Alvarez Affiliation: Member, School of Mathematics Date: February 03, 2021 For more video please visit http://video.ias.edu

From playlist Seminar on Geometric and Modular Representation Theory

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Enrica Floris: On the B-Semiampleness Conjecture

Abstract: An lc-trivial fibration f:(X,B)→Y is a fibration such that the log-canonical divisor of the pair (X,B) is trivial along the fibres of f. As in the case of the canonical bundle formula for elliptic fibrations, the log-canonical divisor can be written as the sum of the pullback of

From playlist Algebraic and Complex Geometry

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Magic Monk's new home pullup bar (4 assisted pullups)

Bought a new pullup bar! Installed it at home myself. Here's a video of me doing some assisted pullups on it (4x).

From playlist General Fitness

Related pages

Topological space | Principal bundle | Mathematics | Subspace topology | Fiber bundle | Universal property | Section (fiber bundle) | Sheaf (mathematics) | Category theory | Vector bundle | Commutative diagram | Disjoint union | Inverse image functor