Topology MOC

Disc space

The 𝑛-disc 𝔻𝑛 is usually defined as the closed unit-ball in ℝ𝑛, i.e.

along with the subspace metric and subspace topology. Its boundary is the (𝑛 −1)-sphere space.

Properties

• The 𝑛-disc is a Compact space.
• Brouwer's fixed point theorem
• Retraction theorem

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