A pair of zips, each zip being half a zipper, which can be zippered up to close a surface along a curve. The concept of a zip-pair can be extremely useful in topological arguments, and zips can be used to illustrate the construction of the cap, cross-cap, handle, and cross-handle.

# Zip-Pair

## See also

Zip## Explore with Wolfram|Alpha

## References

Francis, G. K. and Weeks, J. R. "Conway's ZIP Proof."*Amer. Math. Monthly*

**106**, 393-399, 1999.

## Referenced on Wolfram|Alpha

Zip-Pair## Cite this as:

Weisstein, Eric W. "Zip-Pair." From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Zip-Pair.html