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Class 10 > Learn UNIT II: Algebra > What are topology and algebraic topology in layman's...
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What are topology and algebraic topology in layman's terms?

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Topology and algebraic topology are branches of mathematics that deal with the study of shapes and their properties. They are often considered to be abstract and difficult to understand, but they have a wide range of applications in physics, engineering, and computer science. In layman's terms, topology...
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Topology and algebraic topology are branches of mathematics that deal with the study of shapes and their properties. They are often considered to be abstract and difficult to understand, but they have a wide range of applications in physics, engineering, and computer science. In layman's terms, topology is the study of shapes that can be stretched, squashed, and otherwise deformed without tearing or gluing. It is concerned with the qualitative properties of shapes, such as how many holes they have or how many connected pieces. read less
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Algebraic topology converts a topological problem into an algebraic problem that is hopefully easier to solve.
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Algebraic topology converts a topological problem into an algebraic problem that is hopefully easier to solve. For example, a group called a homology group can be associated to each space, and the torus and the Klein bottle can be distinguished from each other because they have different homology groups....
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Algebraic topology converts a topological problem into an algebraic problem that is hopefully easier to solve. For example, a group called a homology group can be associated to each space, and the torus and the Klein bottle can be distinguished from each other because they have different homology groups. read less
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Alegbraic topology coverts topological problem into an algebraic topology that makes the problem more easier to solve it.
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Topology is a branch of mathematics that studies how shapes are organized and connected. It also studies how shapes can be stretched and moved while keeping points on the shape close together. In topology, two objects are equivalent if you can make them resemble each other by stretching, bending, or...
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Topology is a branch of mathematics that studies how shapes are organized and connected.It also studies how shapes can be stretched and moved while keeping points on the shape close together.In topology, two objects are equivalent if you can make them resemble each other by stretching, bending, or twisting them. read less
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Topology is a branch of mathematics that studies how spaces are organized, structured, and connected. It's sometimes called "rubber sheet geometry" because it studies how objects can be continuously deformed without tearing or gluing. For example, topology can be used to understand how a sheet of paper...
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Topology is a branch of mathematics that studies how spaces are organized, structured, and connected. It's sometimes called "rubber sheet geometry" because it studies how objects can be continuously deformed without tearing or gluing. For example, topology can be used to understand how a sheet of paper can be sculpted without tearing off or gluing on pieces of it - sort of like origami. Algebraic topology is a branch of topology that uses abstract algebra to study topological spaces. read less
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Topology is a branch of mathematics that studies how shapes are organized ,connected ,can be stretched and moved while keeping points on the shape close together. In topology, two objects are equivalent if we can make them resemble each other by stretching, bending, or twisting them.
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Topology is a branch of mathematics that studies how shapes are organized ,connected ,can be stretched and moved while keeping points on the shape close together.In topology, two objects are equivalent if we can make them resemble each other by stretching, bending, or twisting them. read less
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