Geodesic
Topological properties of the space of $G$-symmetric degree
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and topology, Tome 197 (2021), pp. 78-87

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In this paper, we examine the weight, character, locally weak density, and metrizability of the space of $G$-symmetric degree. We proved that the mapping $\pi_{n,G}^{s}$ is open-closed, and the functor $SP_{G}^{n}$ preserves weight, net weight, character, local weak density, the Hausdorff property, regularity, completely regularity, metrizability, and connectedness.
Keywords: open-closed mapping, metrizability, weight, weak density, connectedness, character. 
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     author = {R. B. Beshimov and R. M. Juraev},
     title = {Topological properties of the space of $G$-symmetric degree},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {78--87},
     publisher = {mathdoc},
     volume = {197},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2021_197_a8/}
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R. B. Beshimov; R. M. Juraev. Topological properties of the space of $G$-symmetric degree. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and topology, Tome 197 (2021), pp. 78-87. http://geodesic.mathdoc.fr/item/INTO_2021_197_a8/