×

Gruppen von Homotopieklassen von Abbildungen in Produkte von Eilenberg- Maclane-Räumen. (German) Zbl 0273.55014

MSC:

55P15 Classification of homotopy type
55P45 \(H\)-spaces and duals
55Q05 Homotopy groups, general; sets of homotopy classes
55Q15 Whitehead products and generalizations
17B99 Lie algebras and Lie superalgebras
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Arkowitz, M., Curjel, C. R.: Groups of homotopy classes. Lecture Notes in Mathematics4. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0166.19001
[2] Arkowitz, M., Curjel, C. R.: On the number of multiplications of anH-space. Top.2, 205-208 (1963) · Zbl 0121.39804
[3] Arkowitz, M., Curjel, C. R.: On maps ofH-spaces. Top.6, 137-148 (1967) · Zbl 0171.21901
[4] Bourbaki, N.: Groupes et algèbres de Lie, Chap. 2 et 3. Paris: Hermann 1972 · Zbl 0244.22007
[5] Bousfield, A. K., Kan, D. M.: Homotopy limits, completions and localizations. Lecture Notes in Math.304. Berlin-Heidelberg-New York: Springer 1972 · Zbl 0259.55004
[6] Cartan, H.: Algèbres d’Eilenberg-Maclane et homotopie. Sém. H. Cartan 1954/55 (1956), Paris
[7] Curjel, C. R.: On theH-space structures of finite complexes. Comment. Math. Helv.43, 1-17 (1968) · Zbl 0167.51704 · doi:10.1007/BF02564376
[8] Harrison, J., Scheerer, H.: Zur Homotopietheorie von Abbildungen in homotopieassoziativeH-Räume. Archiv der Mathematik23, 319-325 (1972) · Zbl 0242.55013 · doi:10.1007/BF01304888
[9] Lazard, M.: Sur les groupes nilpotents et les anneaux de Lie. Ann. Sci. Ecole Norm. Sup.71, 101-190 (1954) · Zbl 0055.25103
[10] Larmore, L. L., Thomas, E.: Mappings into loop spaces and central group extensions. Math.128, 277-296 (1972) · Zbl 0254.55010 · doi:10.1007/BF01111568
[11] Larmore, L. L., Thomas, E.: Group extensions and principal fibrations. Math. Scand.30, 227-248 (1972) · Zbl 0254.55009
[12] Milnor, J. W., Moore, J. C.: On the structure of Hopf algebras. Ann. of Math.81, 211-264 (1965) · Zbl 0163.28202 · doi:10.2307/1970615
[13] Moore, J. C.: Algèbres de Hopf universelles. Sém. H. Cartan. 1959/60, Fasc. 2, Exp. 10
[14] Quillen, D.: Rational homotopy theory. Ann. of Math.90, 205-295 (1969) · Zbl 0191.53702 · doi:10.2307/1970725
[15] Sweedler, M. E.: Hopf algebras. New York: Benjamin 1969 · Zbl 0194.32901
[16] Tits, J.: Liesche Gruppen und Algebren. Vorlesungsskript, Bonn 1965
[17] Whitehead, G. W.: On mappings into group-like spaces. Comment. Math. Helv.28, 320-327 (1954) · Zbl 0058.16801 · doi:10.1007/BF02566938
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.