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・ Infinite monkey theorem
・ Infinite monkey theorem in popular culture
・ Infinite Monkeys
・ Infinite Possibilities
・ Infinite product
・ Infinite qualitative distinction
・ Infinite regress
・ Infinite Requiem
・ Infinite Rider on the Big Dogma
・ Infinite Ryvius
・ Infinite set
・ Infinite Sorrow
・ Infinite Space
・ Infinite Summer
・ Infinite switch
Infinite symmetric product
・ Infinite System
・ Infinite tree
・ Infinite tree automaton
・ Infinite Undiscovery
・ Infinite Visions
・ Infinite Wind Energy
・ Infinite-alleles model
・ Infinite-axis telescope
・ Infinite-dimensional holomorphy
・ Infinite-dimensional Lebesgue measure
・ Infinite-dimensional optimization
・ Infinite-dimensional vector function
・ Infinite-order apeirogonal tiling
・ Infinite-order dodecahedral honeycomb


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Infinite symmetric product : ウィキペディア英語版
Infinite symmetric product
In algebraic topology, the infinite symmetric product SP(''X'') of a topological space ''X'' with given basepoint ''e'' is the quotient of the disjoint union of all powers ''X'', ''X''2, ''X''3, ... obtained by identifying points (''x''1,...,''x''''n'') with (''x''1,...,''x''''n'',''e'') and identifying any point with any other point given by permuting its coordinates. In other words its underlying set is the free commutative monoid generated by ''X'' (with unit ''e''), and is the abelianization of the James reduced product.
The infinite symmetric product appears in the Dold–Thom theorem.
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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