SOME HOMOTOPY PROPERTIES OF n-FOLD SYMMETRIC PRODUCT OF THE SPACE X
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Ushbu maqolada biz X fazoning n-darajali simmetrik ko’paytma fazosining ba’zi gomotopik
xossalarini o’rganamiz. Agar f; g : X ! Y akslantirishlar o’zaro gomotop bo’lsa, u holda Fnf;Fng :
FnX ! FnY akslantirishlar ham o’zaro gomotop ekanligi isbotlangan. Bundan tashqari, n-darajali
simmetrik ko’paytma funktori Fn kovariant gomotopik funktor ekanligi ko’rsatilgan. Shu bilan birga,
agar X va Y fazolar gomotopik ekvivalent bo’lsa, u holda FnX va FnY fazolar ham gomotopik
ekvivalent ekanligi isbotlangan.
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