Illman, Soeren The equivariant triangulation theorem for actions of compact Lie groups. (English) Zbl 0488.57014 Math. Ann. 262, 487-501 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 34 Documents MSC: 57S15 Compact Lie groups of differentiable transformations 57S10 Compact groups of homeomorphisms 57Q15 Triangulating manifolds 57Q05 General topology of complexes Keywords:equivariant triangulation theorem for actions of compact Lie groups; equivariant simplexes; G-space whose orbit space admits a triangulation such that the G-isotropy type is constant in each open simplex; existence of equivariant CW complex structures Citations:Zbl 0428.58003; Zbl 0213.254; Zbl 0251.55004 PDFBibTeX XMLCite \textit{S. Illman}, Math. Ann. 262, 487--501 (1983; Zbl 0488.57014) Full Text: DOI EuDML References: [1] Arhangel’skiî, A.V.: Bicompact sets and the topology of spaces Trans. Moscow Math. Soc.13, 1-62 (1965) [2] Bredon, G.E.: Introduction to compact transformation groups. New York, London: Academic Press 1972 · Zbl 0246.57017 [3] Cairns, S.S.: Triangulated manifolds and differentiable manifolds. In: Lectures in Topology, pp. 143-157. Ann Arbor: University of Michigan Press. 1941 · Zbl 0063.00681 [4] Conner, P.E., Floyd, E.E.: Differentiable periodic maps. Berlin, Göttingen, Heidelberg, New York: Springer 1964 · Zbl 0125.40103 [5] Engelking, R.: General topology. Warsaw: Polish Scientific Publishers 1977 · Zbl 0373.54002 [6] Illman, S.: Equivariant singular homology and cohomology for actions of compact Lie groups. In: Proceedings of the Second Conference of Compact Transformation Groups (Univ. of Massachusetts, Amherst 1971), Lecture Notes in Mathematics, Vol. 298, pp. 403-415, Berlin, Heidelberg, New York: Springer 1972 [7] Illman, S.: Equivariant algebraic topology. Ph.D. Thesis, Princeton Univ., Princeton, N.J., 1972 · Zbl 0251.55004 [8] Illman, S.: Smooth equivariant triangulations ofG-manifolds forG a finite group Math. Ann.233, 199-220 (1978) · Zbl 0369.57005 [9] Kelley, J.: General topology Princeton: Van Nostrand 1955 · Zbl 0066.16604 [10] Lellmann, W.: Orbiträume vonG-Mannigfaltigkeiten und stratifizierte Mengen. Diplomarbeit, Bonn 1975 [11] Matumoto, T.: EquivariantK-theory and Fredholm operators. J. Fac. Sci. Univ. Tokyo Sect. I A Math.18, 109-125 (1971) · Zbl 0213.25402 [12] Matumoto, T.: OnG-CW complexes and a theorem of J.H.C. Whitehead. J. Fac. Sci. Univ. Tokyo Sect. I A Math.18, 363-374 (1971) · Zbl 0232.57031 [13] Munkres, J.R.: Elementary differential topology. Rev. Edit. Ann. of Math. Studies, No. 54. Princeton: Princeton University Press 1966 · Zbl 0161.20201 [14] Palais, R.S.: The classification ofG-spaces. Mem. Am. Math. Soc.36, 1-72 (1960) · Zbl 0119.38403 [15] Verona, A.: Triangulation of stratified fibre bundles. Manuscripta Math.30, 425-445 (1980) · Zbl 0428.58003 [16] Yang, C.T.: The triangulability of the orbit space of a differentiable transformation group. Bull. Am. Math. Soc.69, 405-408 (1963) · Zbl 0114.14502 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.