wedge product of pointed topological spaces

Definition. Let {(Xi,xi)}iI be a finite family of disjoint pointed topological spacesPlanetmathPlanetmath. The wedge productMathworldPlanetmath of these spaces is


This can be generalized to arbitrary families of pointed topological spaces, although this may require that the topologyMathworldPlanetmathPlanetmath on iIXi satisfy a coherence condition (see [1]).


  • 1 Munkres, J. R. (2000). Topology (2nd. ed.). Upper Saddle River, NJ: Prentice Hall.
  • 2 Prasolov, V. V. (2004). Elements of combinatorial and differential topology. Providence, RI: American Mathematical Society.
  • 3 Shick, P. L. (2007). Topology: Point-set and geometric. Hoboken, NJ: John Wiley & Sons.
Title wedge product of pointed topological spaces
Canonical name WedgeProductOfPointedTopologicalSpaces
Date of creation 2013-03-22 18:49:09
Last modified on 2013-03-22 18:49:09
Owner MichaelMcCliment (20205)
Last modified by MichaelMcCliment (20205)
Numerical id 5
Author MichaelMcCliment (20205)
Entry type Definition
Classification msc 54E99
Synonym wedge
Synonym wedge product
Related topic QuotientSpace
Related topic CategoryOfPointedTopologicalSpaces