Cryptocurrency Q&A What is an example of a manifold?

What is an example of a manifold?

Lorenzo Lorenzo Sun Nov 03 2024 | 6 answers 1168
I'm looking for an example that illustrates the concept of a manifold. Preferably, something that's easy to understand and visualize, helping me grasp this complex mathematical idea. What is an example of a manifold?

6 answers

Martina Martina Tue Nov 05 2024
Manifolds exist in various dimensions.

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CryptoChieftain CryptoChieftain Tue Nov 05 2024
One example of a one-dimensional manifold is the circle, denoted as S1.

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GwanghwamunGuardianAngelWingsBlessing GwanghwamunGuardianAngelWingsBlessing Tue Nov 05 2024
Another one-dimensional manifold is the long line, which is an infinite line without a specific endpoint.

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Thunderbolt Thunderbolt Mon Nov 04 2024
The real line, denoted as R, is also a one-dimensional manifold, representing the set of all real numbers.

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WhisperInfinity WhisperInfinity Mon Nov 04 2024
The real projective line, RP1, is a one-dimensional manifold that is topologically equivalent to the circle, S1.

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