Space Join

Let X and Y be topological spaces. Then their join is the factor space

X*Y=(X×Y×I)/∼,

(1)

where ∼ is the equivalence relation

[画像: (x,y,t)∼(x^',y^',t^')<=>{t=t^'=0 and x=x^'; or ; t=t^'=1 and y=y^'. ]

(2)

See also

Space Cone, Suspension

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References

Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, p. 6, 1976.

Referenced on Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Space Join." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SpaceJoin.html

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