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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{VSGU_2023_29_2_a3,
     author = {T. F. Zhuraev and M. V. Dolgopolov},
     title = {Equivariant properties of the space $ {\mathbb Z} (X) $ for a stratifiable space $ X $},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {40--47},
     publisher = {mathdoc},
     volume = {29},
     number = {2},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2023_29_2_a3/}
}
TY  - JOUR
AU  - T. F. Zhuraev
AU  - M. V. Dolgopolov
TI  - Equivariant properties of the space $ {\mathbb Z} (X) $ for a stratifiable space $ X $
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2023
SP  - 40
EP  - 47
VL  - 29
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGU_2023_29_2_a3/
LA  - en
ID  - VSGU_2023_29_2_a3
ER  - 
%0 Journal Article
%A T. F. Zhuraev
%A M. V. Dolgopolov
%T Equivariant properties of the space $ {\mathbb Z} (X) $ for a stratifiable space $ X $
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2023
%P 40-47
%V 29
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGU_2023_29_2_a3/
%G en
%F VSGU_2023_29_2_a3
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/