Symmetric product (topology)
id:
symmetric-product-topology-302-17841076
title:
Symmetric product (topology)
text:
In algebraic topology, the nth symmetric product of a topological space consists of the unordered n-tuples of its elements. If one fixes a basepoint, there is a canonical way of embedding the lower-dimensional symmetric products into the higher-dimensional ones. That way, one can consider the colimit over the symmetric products, the infinite symmetric product. This construction can easily be extended to give a homotopy functor. From an algebraic point of view, the infinite symmetric product is t
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encyclopedia
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https://en.wikipedia.org/wiki/Symmetric_product_(topology)
date created:
date modified:
2023-11-13T18:30:49Z
main entity:
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13
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