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On Palais universal $$G$$-spaces and isovariant absolute extensors. (English. Russian original) Zbl 1257.54038
Sb. Math. 203, No. 6, 769-797 (2012); translation from Mat. Sb. 203, No. 6, 3-34 (2012).
In this nicely written paper, the author develops the theory of isovariant absolute extensors which were earlier introduced by R. Palais [“The classification of $$G$$-spaces”, Mem. Am. Math. Soc. 36, 72 p. (1960; Zbl 0119.38403)]. The author proves the existence of injective objects in the isovariant category and investigates their various properties.

##### MSC:
 54H15 Transformation groups and semigroups (topological aspects) 57S10 Compact groups of homeomorphisms 54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)
##### Keywords:
Classifying $$G$$-spaces; isovariant absolute extensor
Zbl 0119.38403
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