extensions;
pseudoextensions;
cohomology of categories;
crossed module;
quadratic module;
algebraic models of homotopies;
D O I:
10.1007/BF00536609
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Let n + k > n greater than or equal to 2. We consider algebraic models of the homotopy category of CW-complexes with cells only in dimension n and n + k. The algebraic model category is described in terms of non-Abelian extensions in Ext(2).
机构:
High Energy Accelerator Res Org KEK, Inst Particle & Nucl Studies, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, JapanHigh Energy Accelerator Res Org KEK, Inst Particle & Nucl Studies, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan
Yasui, Shigehiro
Hirono, Yuji
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机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, Tokyo 1130033, JapanHigh Energy Accelerator Res Org KEK, Inst Particle & Nucl Studies, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan
Hirono, Yuji
Itakura, Kazunori
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机构:
High Energy Accelerator Res Org KEK, Inst Particle & Nucl Studies, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan
Grad Univ Adv Studies SOKENDAI, Dept Particle & Nucl Studies, Tsukuba, Ibaraki 3050801, JapanHigh Energy Accelerator Res Org KEK, Inst Particle & Nucl Studies, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan
Itakura, Kazunori
Nitta, Muneto
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机构:
Keio Univ, Dept Phys, Yokohama, Kanagawa 2238521, Japan
Keio Univ, Res & Educ Ctr Nat Sci, Yokohama, Kanagawa 2238521, JapanHigh Energy Accelerator Res Org KEK, Inst Particle & Nucl Studies, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan