In this paper, we show that Hunton–Turner coalgebraic tensor product respects various actions of Hopf algebras of homology operations.
Kashiwabara, Takuji  1
@article{10_2140_agt_2010_10_1739,
author = {Kashiwabara, Takuji},
title = {Coalgebraic tensor product and homology operations},
journal = {Algebraic and Geometric Topology},
pages = {1739--1746},
year = {2010},
volume = {10},
number = {3},
doi = {10.2140/agt.2010.10.1739},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2010.10.1739/}
}
TY - JOUR AU - Kashiwabara, Takuji TI - Coalgebraic tensor product and homology operations JO - Algebraic and Geometric Topology PY - 2010 SP - 1739 EP - 1746 VL - 10 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2010.10.1739/ DO - 10.2140/agt.2010.10.1739 ID - 10_2140_agt_2010_10_1739 ER -
Kashiwabara, Takuji. Coalgebraic tensor product and homology operations. Algebraic and Geometric Topology, Tome 10 (2010) no. 3, pp. 1739-1746. doi: 10.2140/agt.2010.10.1739
[1] , Lectures on generalised cohomology, from: "Category Theory, Homology Theory and their Applications, III (Battelle Institute Conference, Seattle, Wash., 1968, Vol. Three)", Springer (1969) 1
[2] , , , The homology of iterated loop spaces, 533, Springer (1976)
[3] , , Homology of iterated loop spaces, Amer. J. Math. 84 (1962) 35
[4] , , Coalgebraic algebra, J. Pure Appl. Algebra 129 (1998) 297
[5] , , The homology of spaces representing exact pairs of homotopy functors, Topology 38 (1999) 621
[6] , Homological algebra for coalgebraic modules and mod p K–theory of infinite loop spaces, K–Theory 21 (2000) 387
[7] , , The Morava K–theory and Brown–Peterson cohomology of spaces related to BP, J. Math. Kyoto Univ. 41 (2001) 43
[8] , Problems in infinite loop space theory, from: "Conference on homotopy theory (Evanston, Ill., 1974)" (editor D Davis), Notas Mat. Simpos. 1, Soc. Mat. Mexicana (1975) 111
[9] , The mod 2 spherical characteristic classes, Ann. of Math. (2) 92 (1970) 238
[10] , , The Hopf ring for complex cobordism, J. Pure Appl. Algebra 9 (1977) 241
[11] , Cohomology operations, and obstructions to extending continuous functions, Advances in Math. 8 (1972) 371
Cité par Sources :