A Classification Theorem For Homotopy Commutative H-spaces With Finitely Generated Mod 2 Cohomology Rings (memoirs Of The American Mathematical Society)
معرفی کتاب «A Classification Theorem For Homotopy Commutative H-spaces With Finitely Generated Mod 2 Cohomology Rings (memoirs Of The American Mathematical Society)» نوشتهٔ Michael Slack، منتشرشده توسط نشر American Mathematical Society در سال 1991. این کتاب در فرمت djvu، زبان انگلیسی ارائه شده است.
It is shown that a 2-connected homotopy commutative H-space with associative mod 2 homology ring and finitely generated mod 2 cohomology ring has acyclic mod 2 cohomology. This implies that a connected, homotopy commutative, homotopy associative H-space with finitely generated mod 2 cohomology ring is mod 2 homotopy equivalent to a product of Eilenberg-MacLane spaces, giving a complete classification of such spaces localized at the prime 2
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