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| {\bf Definition.} Let $\{(X_i,x_i)\}_{i\in I}$ be a finite family of disjoint pointed topological spaces. The \emph{wedge product} of these spaces is |
{\bf Definition.} Let $\{(X_i,x_i)\}_{i\in I}$ be a finite family of disjoint pointed topological spaces. The \emph{wedge product} of these spaces is |
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| $$\bigvee_{i\in I} X_i = \left(\bigcup_{i\in I} X_i\right) / \{x_i: i\in I\}.$$ |
$$\bigvee_{i\in I} X_i = \left(\bigcup_{i\in I} X_i\right) / \{x_i: i\in I\}.$$ |
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This can be generalized to arbitrary families of pointed topological spaces, although this may require that the topology on $\bigcup_{i\in I} X_i$ satisfy a coherence condition (see \cite{Munkres}).
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This can be generalized to arbitrary families of pointed topological spaces, although this may require that the topology on $\bigcup_{i\in I}$ satisfy a coherence condition (see \cite{Munkres}).
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| \begin{thebibliography} {9} |
\begin{thebibliography} {9} |
| \bibitem{Munkres} Munkres, J. R. (2000). \emph{Topology} (2nd. ed.). Upper Saddle River, NJ: Prentice Hall. |
\bibitem{Munkres} Munkres, J. R. (2000). \emph{Topology} (2nd. ed.). Upper Saddle River, NJ: Prentice Hall. |
| \bibitem{Prasolov} Prasolov, V. V. (2004). \emph{Elements of combinatorial and differential topology}. Providence, RI: American Mathematical Society. |
\bibitem{Prasolov} Prasolov, V. V. (2004). \emph{Elements of combinatorial and differential topology}. Providence, RI: American Mathematical Society. |
| \bibitem{Shick} Shick, P. L. (2007). \emph{Topology: Point-set and geometric}. Hoboken, NJ: John Wiley \& Sons. |
\bibitem{Shick} Shick, P. L. (2007). \emph{Topology: Point-set and geometric}. Hoboken, NJ: John Wiley \& Sons. |
| \end{thebibliography} |
\end{thebibliography} |
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