Introducing G-CW complexes, Bredon-Illman cohomology and foundations of equivariant differential topology:
Sören Illman, Equivariant algebraic topology, Princeton University 1972 (pdf)
Sören Illman, Equivariant singular homology and cohomology for actions of compact lie groups (doi:10.1007/BFb0070055) In: H. T. Ku, L. N. Mann, J. L. Sicks, J. C. Su (eds.), Proceedings of the Second Conference on Compact Transformation Groups Lecture Notes in Mathematics, vol 298. Springer 1972 (doi:10.1007/BFb0070029)
Sören Illman, Equivariant algebraic topology, Annales de l’Institut Fourier, Tome 23 (1973) no. 2, pp. 87-91 (doi:10.5802/aif.458)
Sören Illman, Equivariant singular homology and cohomology, Bull. Amer. Math. Soc. Volume 79, Number 1 (1973), 188-192 (euclid:bams/1183534324)
On equivariant differential topology, proving the equivariant triangulation theorem:
Sören Illman, Smooth equivariant triangulations of -manifolds for a finite group, Math. Ann. (1978) 233: 199 (doi:10.1007/BF01405351)
Sören Illman, The Equivariant Triangulation Theorem for Actions of Compact Lie Groups, Mathematische Annalen (1983) Volume: 262, page 487-502 (doi:10.1007/BF01456063, dml:163720)
Sören Illman, Existence and uniqueness of equivariant triangulations of smooth proper -manifolds with some applications to equivariant Whitehead torsion, J. Reine Angew. Math. 524 (2000) 129–183. [doi:10.1515/crll.2000.054]
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