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pointed topological space
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(Definition)
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Definition Suppose $X$ is a non-empty topological space and $x_0$ is an element of $X$ . Then the pair $(X,x_0)$ is called a pointed topological space, or a based topological space.
The idea with pointed topological spaces is simply that one fixes a base point in the space. This is necessary, for instance, when defining the fundamental group of a topological space.
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"pointed topological space" is owned by bwebste. [ full author list (3) | owner history (1) ]
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Cross-references: fundamental group, necessary, base point, topological space
There are 4 references to this entry.
This is version 4 of pointed topological space, born on 2003-10-15, modified 2006-10-07.
Object id is 4965, canonical name is PointedTopologicalSpace.
Accessed 2645 times total.
Classification:
| AMS MSC: | 54-00 (General topology :: General reference works ) | | | 54E99 (General topology :: Spaces with richer structures :: Miscellaneous) |
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Pending Errata and Addenda
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