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Comultiplication

From Topospaces

Revision as of 03:45, 31 December 2010 by Vipul (talk | contribs) (Created page with '==Definition== Suppose <math>(X,x_0)</math> is a based topological space. A '''comultiplication''' on this space is a continuous based map: <math>(X,x_0) \to (X,x_0) \v...')

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Definition

Suppose $(X, x_{0})$ is a based topological space. A comultiplication on this space is a continuous based map:

$(X, x_{0}) \to (X, x_{0}) \lor (X, x_{0})$

where $\lor$ denotes the wedge sum of topological spaces ans continuous based map means continuous map that sends basepoint to basepoint.

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