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Bibliography
Bieri, R. andEckmann, B.,Groups with homological duality generalizing Poincaré duality, Invent. Math.20 (1973), 103–124.
Borel, A.,Density and maximality of arithmetic subgroups, J. f. reine angew. Math.224 (1966), 78–89.
[3]—,Introduction aux groupes arithmétiques, Act. Sci. Ind. 1341, Hermann éd. Paris 1969.
Borel, A.,Linear algebraic groups (Notes by H. Bass), Benjamin Lecture Notes Series, New York 1969.
Borel, A. andHarish-Chandra,Arithmetic subgroups of algebraic groups, Ann. of Math.75 (1962), 485–535.
Borel, A. etSerre, J-P.,Théorèmes de finitude en cohomologie galoisienne, Comment. Math. Helv.39 (1964), 111–169.
[7]—,Adjonction de coins aux espaces symétriques. Applications à la cohomologie des groupes arithmétiques, C. R. Acad. Sci. Paris271 (1970), 1156–1158.
Borel, A. etTits, J.,Groupes réductifs, Publ. Math. I.H.E.S.27 (1965), 55–151. (Compléments,ibid. 41 (1972), 253–276.)
Bourbaki, N.,Variétés différentielles et analytiques. Fascicule de résultats. Act. Sci. Ind. 1333, 1347, Paris 1967
Brown, M.,Locally flat imbeddings of topological manifolds, Ann. of Math.75 (1962), 331–341.
Cartan, H.,Variétés analytiques réelles et variétés analytiques complexes, Bull. Soc. Math. France85 (1957), 77–99.
[12]—,Espaces fibrés et homotopie, Séminaire ENS 1949/50, W. A. Benjamin, New York, 1967.
[13]—,Cohomologie des groupes, suite spectrale, faisceaux, Séminaire ENS 1950/51, W. A. Benjamin, New York 1967.
Garland, H.,p-adic curvature and the cohomology of discrete subgroups of p-adic groups, Ann. of Math.98 (1973), 375–423.
Grauert, H.,On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math.68 (1958), 660–671.
Hanner, O.,Some theorems on absolute neighborhood retracts, Arkiv för Mat.1 (1950), 389–408.
—,Retraction and extension of mappings of metric and non-metric spaces, Arkiv för Mat.2 (1952), 315–360.
Harder, G.,A Gauss-Bonnet formula for discrete arithmetically defined groups, Annales Sci. E.N.S.4 (1971), 409–455.
Lundell, A. andWeingram, S.,The Topology of CW Complexes, van Nostrand, New York, 1969.
Malgrange, B.,Ideals of differentiable functions, Bombay and Oxford Univ. Press (1966).
Mostow, G. D. Self-adjoint groups, Ann. of Math62 (1955), 44–55.
—,Fully reducible subgroups of algebraic groups, Amer. J. Math.78 (1956), 200–221
Munkres, J. R.,Elementary Differential Topology (revised edition), Ann. of Math. Studies 54, 1966.
Palais, R.,Homology theory of infinite dimensional manifolds, Topology5 (1966), 1–16.
Raghunathan, M. S.,A note on quotients of real algebraic groups by arithmetic subgroups, Invent. Math.4 (1968), 318–335.
Serre, J-P.,Cohomologie des groupes discrets, Ann. of Math. Studies70 (1971), 77–169.
Siegel, C. L.,Zur Reduktionstheorie der quadratischen Formen, Publ. Math. Soc. Japan5, 1959 (Gesam. Abh. 111, p. 275–333).
Solomon, L.,The Steinberg character of a finite group with BN-pair, Theory of Finite Groups (R. Brauer and C-H. Sah ed.), W. A. Benjamin, New York, 1969, 213–221.
Tits, J.,Structures et groupes de Weyl, Séminaire N. Bourbaki, exposé288 (févr. 1965), W. A. Benjamin, New York, 1966.
Weil, A.,Sur les théorèmes de de Rham, Comment. Math. Helv.26 (1952), 119–145.
Whitney, H.,Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc.36 (1936), 63–89.
Whitney, H. etBruhat, F., Quelques propriétés fondamentales des ensembles analytiques réels, Comm. Math. Helv.33 (1959), 132–160.
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Borel, A., Serre, JP. Corners and arithmetic groups. Commentarii Mathematici Helvetici 48, 436–491 (1973). https://doi.org/10.1007/BF02566134
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DOI: https://doi.org/10.1007/BF02566134