Heller, Alex Principal bundles and group extensions with applications to Hopf algebras. (English) Zbl 0275.18012 J. pure appl. Algebra 3, 219-250 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 Documents MSC: 18D30 Fibered categories 20E22 Extensions, wreath products, and other compositions of groups 22A05 Structure of general topological groups 18F10 Grothendieck topologies and Grothendieck topoi 18G99 Homological algebra in category theory, derived categories and functors 20J06 Cohomology of groups 16W30 Hopf algebras (associative rings and algebras) (MSC2000) PDFBibTeX XMLCite \textit{A. Heller}, J. Pure Appl. Algebra 3, 219--250 (1973; Zbl 0275.18012) Full Text: DOI References: [1] Artin, M., Grothendieck Topologies (1962), Harvard Univ: Harvard Univ Cambridge, Mass · Zbl 0208.48701 [2] Dold, A., Partitions of unity in the theory of fibrations, Ann. Math., 78, 223-255 (1963) · Zbl 0203.25402 [3] Eilenberg, S.; MacLane, S., Cohomology theory in abstract groups I, Ann. Math., 48, 51-78 (1947) · Zbl 0029.34001 [4] Gabriel, P., Groupes Formels, (Schemas en Groupes I (1970), Springer: Springer Berlin) · Zbl 0173.49001 [5] Gugenheim, V. K.A. M., On extensions of algebras, coalgebras and Hopf algebras I, Am. J. Math., 84, 349-382 (1962) · Zbl 0108.26501 [6] Hu, S. T., Cohomology theory in topological groups, Michigan Math. J., 1, 11-59 (1952) · Zbl 0048.25802 [7] MacLane, S., Categories for the Working Mathematician (1972), Springer: Springer Berlin [8] Milgram, R. J., The bar instruction and abelian \(H\)-spaces, Illinois, J. Math., 11, 242-250 (1967) · Zbl 0152.40502 [9] Milnor, J. W., Construction of universal bundles II, Ann. Math., 63, 430-436 (1956) · Zbl 0071.17401 [10] Milnor, J. W.; Moore, J. C., On the structure of Hopf algebras, Ann. Math., 81, 211-264 (1965) · Zbl 0163.28202 [11] Moore, C. C., Extensions and low-dimensional cohomology theory of locally compact groups I, Trans. Am. Math. Soc., 113, 40-63 (1964) · Zbl 0131.26902 [12] Shapiro, A., Group extensions of compact Lie groups, Ann. Math., 50, 581-596 (1949) · Zbl 0033.34704 [13] Singer, W. M., Extension theory for connected Hopf algebras, J. Algebra, 21, 1-16 (1972) · Zbl 0269.16011 [14] Steenrod, N. E., The Topology of Fibre Bundles (1951), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 0054.07103 [15] Steenrod, N. E., Milgram’s classifying space of a topological group, Topology, 7, 349-368 (1968) · Zbl 0177.51601 [16] Sweedler, M. E., Hopf Algebras (1969), Benjamin: Benjamin New York · Zbl 0194.32901 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.