Geodesic
Equivariant properties of the space $ {\mathbb Z} (X) $ for a stratifiable space $ X $
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 29 (2023) no. 2, pp. 40-47 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we prove the action of the compact group $ G $ defined by the stratified space $ X $ is continuous to the space $ Z (X) $ being a stratified space containing the self-stratified space $ X $ as a closed subset. An equivariant analogue of some results of R. Cauty concerning $ A (N) R (S) $ – spaces is proved. It is presented that the orbit space $ Z (X) / G $ by the action of the group $ G $ is a $ S $ space.
Keywords: equivariant maps, stratified space, homotopy density, absolute extensor, neighborhood extensor, covariant functor, probabilistic measures.
Mots-clés : group actions, orbit space, invariant set, dimension 
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T. F. Zhuraev; M. V. Dolgopolov. Equivariant properties of the space $ {\mathbb Z} (X) $ for a stratifiable space $ X $. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 29 (2023) no. 2, pp. 40-47. http://geodesic.mathdoc.fr/item/VSGU_2023_29_2_a3/

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