On Certain Cardinal Properties of the $$ {N}_{\tau}^{\varphi } $$-Nucleus of a Space X

Mukhamadiev, F. G.

doi:10.1007/s10958-020-04704-5

Cited by 9 publications

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“…The study of the influence of normal, weakly normal and seminormal functors to topological and geometric properties of topological spaces, in particular to the cardinal properties (density, weak density, local density, tightness, set tightness, T -tightness, functional tightness, mini-tightness), has been developed in recent investigations (see [1,2,3,4,6,7,9,10,11,12,14,15,16,17]). For example, in [2] it was proved that the exponential functor of finite degree preserves the functional tightness and minimal tightness of compact sets, while in [11] a similar investigation (related to the T −tightness, set tightness, functional tightness, mini-tightness) was done for the functor SP n G of G-permutation degree.…”

Section: Introductionmentioning

confidence: 99%

Some network-type properties of the space of G-permutation degree

et al. 2023

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In this paper the network-type properties (network,cs−network,cs∗−network,cn−network andck−network) of the spaceSPnGXofG-permutation degree ofXare studied. It is proved that:(1) IfXis aT1-space that has a network of cardinality≤κ, thenSPnGXhas a network of cardinality≤κ;(2) IfXis aT1-space that has acs-network (resp.cs∗-network) ofcardinality≤κ, thenSPnGXhas acs-network (resp.cs∗-network) ofcardinality≤κ;(3) IfXis aT1-space that has acn-network (resp.ck-network) ofcardinality≤κ, thenSPnGXhas acn-network (resp.ck−network) ofcardinality≤κ.

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Section: Introductionmentioning

confidence: 99%

Some network-type properties of the space of G-permutation degree

et al. 2023

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“…In recent researches a number of authors was interested in the behaviour of certain cardinal invariants under the influence of various covariant functors. For example, in [5,11,12,14,19,20] the authors investigated several cardinal invariants under the influence of some weakly normal, seminormal and normal functors.…”

Section: Introductionmentioning

confidence: 99%

Some Tightness-Type Properties of the Space of Permutation Degree

Kočinac¹,

Mukhamadiev²,

Sadullaev³

2022

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“…In recent research, a number of authors have investigated the behaviour of certain cardinal invariants under the influence of various covariant functors. For example, in [3][4][5][6][7][8] the authors investigated several cardinal invariants under the influence of weakly normal, seminormal, and normal functors.…”

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confidence: 99%