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Title: Tangent Space (Definition via tangent curves)
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Series: Manifolds
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YouTube-Title: Manifolds 21 | Tangent Space (Definition via tangent curves)
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Bright video: https://youtu.be/l0OSjvRs_cc
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Dark video: https://youtu.be/pHf1KK6otgk
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Ad-free video: Watch Vimeo video
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Quiz: Test your knowledge
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Dark-PDF: Download PDF version of the dark video
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Print-PDF: Download printable PDF version
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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: mf21_sub_eng.srt missing
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: Let $M$ be a smooth manifold of dimension $n$. What is the definition of $C_p(M)$ according to the video?
A1: $ { \gamma: (-\varepsilon, \varepsilon) \rightarrow M \mid \gamma \text{ differentiable with } \gamma(0) = p } $
A2: $ { \gamma: (-\varepsilon, \varepsilon) \rightarrow M \mid \gamma \text{ differentiable with } \gamma^\prime(0) = p } $
A3: $ { \gamma: (-\varepsilon, \varepsilon) \rightarrow M \mid \gamma \text{ continuous with } \gamma^\prime(0) = p } $
A4: $ { \gamma: (-\varepsilon, \varepsilon) \rightarrow M \mid \gamma \text{ continuous with } \gamma(0) = p } $
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Last update: 2024-10
