Definition:Cross-Cap

Definition

A cross-cap is a homeomorphic copy of a Möbius strip, whose boundary circle is identified with the boundary circle of a disk removed from $\Bbb S^2$.

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Also see

• Results about cross-caps can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): cross-cap
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): manifold
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): cross-cap
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): manifold