Search Results - "Hemmi, Yutaka"
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Stable extendibility of vector bundles over real projective spaces
Published in Topology and its applications (01-11-2013)“…Let F be either the real number field R or the complex number field C and RPn the real projective space of dimension n. Theorems A and C in Hemmi and Kobayashi…”
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Higher homotopy commutativity of -spaces and the permuto-associahedra
Published in Transactions of the American Mathematical Society (01-10-2004)“…In this paper, we give a combinatorial definition of a higher homotopy commutativity of the multiplication for an A n A_n -space. To give the definition, we…”
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Higher homotopy commutativity of H-spaces and the permuto-associahedra
Published in Transactions of the American Mathematical Society (01-10-2004)“…In this paper, we give a combinatorial definition of a higher homotopy commutativity of the multiplication for an A_n-space. To give the definition, we use…”
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Stable extendibility of vector bundles over RP n and the stable splitting problem
Published in Topology and its applications (01-12-2008)“…Let F be the real number field R or the complex number field C, and let RP n denote the real projective n-space. In this paper, we study the conditions for a…”
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Stable extendibility of vector bundles over lens spaces mod 3 and the stable splitting problem
Published in Topology and its applications (01-09-2009)“…Let L n ( 3 ) denote the ( 2 n + 1 ) -dimensional standard lens space mod 3. In this paper, we study the conditions for a given real vector bundle over L n ( 3…”
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H-spaces as direct product factors of loop spaces
Published in Topology and its applications (15-07-2003)“…Any H-space X can be imbedded in the loop space of its suspension ΩΣX as a direct product factor: X×Y≃ΩΣX for some Y. In this paper, we first study a condition…”
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A nonexterior Hopf algebra and loop spaces
Published in Topology and its applications (1996)“…Let A be the Hopf algebra over Z p for a prime p given by A = Λ(x i, y i ¦ 0 ⩽ i ⩽ p − 2) ⊗ ( Z p [z] (z p) ) (deg x i = 2(p + 1)i + 3, deg y i = 2(p + 1)(i +…”
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Retractions of H-spaces
Published 06-03-2003“…Stasheff showed that if a map between H-spaces is an H-map, then the suspension of the map is extendable to a map between cprojective planes of the H-spaces…”
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Cohomology rings of 3-local finite H-spaces
Published in Journal of pure and applied algebra (08-02-2002)“…Given a simply connected 3-local finite H-space X with mod 3 homology an associative ring, the even degree algebra generators of H ∗(X; F 3) lie in degrees 8…”
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Higher homotopy commutativity of H -spaces and the mod p torus theorem
Published in Pacific journal of mathematics (01-05-1991)Get full text
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Higher homotopy commutativity and cohomology of finite H-spaces
Published 17-08-2004“…Kyoto J. Math. 56, no. 4 (2016), 847-872 We study connected mod p finite A_p-spaces admitting AC_n-space structures with n<p for an odd prime p. Our result…”
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