This paper investigates the influence of the symmetric product functor $SP^{n}$ and the exponential functor $\exp$ on certain types of continuous mappings, focusing specifically on almost-open and pseudo-open mappings. The primary objective is to analyze how functors $SP^{n}$ and $exp$ interact with these mappings and alter their topological properties. Through the study, several key lemmas have been proven, providing insights into the behavior of the $SP^{n}$-induced mappings. Notably, it is demonstrated that for open sets $ U_1, U_2, \dots, U_n\subset X $, the set $[U_1, U_2, \dots, U_n]$ retains its openness in $ SP^{n}X $. These findings contribute to a deeper understanding of the topological implications of applying the $ SP^{n}$ functor on continuous mappings, offering new perspectives on its effect on almost-open and pseudo-open transformations.
| Mualliflar | Mamadaliyev, N., Toshbuvayev, B. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-1-14 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-1-14 · Maqolaning asl sahifasi
exponential functor, functor of permutation degree, almost-open map, pseudo-open map, sequence-covering map
| APA | Mamadaliyev, N., & Toshbuvayev, B. (2026). On the impact of the exponential functor on some types of continuous mappings. O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-14 |
|---|---|
| GOST (OAK) | Mamadaliyev, N., Toshbuvayev, B. On the impact of the exponential functor on some types of continuous mappings // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 1. – DOI: 10.29229/uzmj.2026-1-14. |
| MLA | Mamadaliyev, N., and Toshbuvayev, B. “On the impact of the exponential functor on some types of continuous mappings.” O‘zbekiston matematika jurnali, 70(1), 2026. https://doi.org/10.29229/uzmj.2026-1-14 |
| Chicago | Mamadaliyev, N., and Toshbuvayev, B. “On the impact of the exponential functor on some types of continuous mappings.” O‘zbekiston matematika jurnali, 70(1) (2026). https://doi.org/10.29229/uzmj.2026-1-14 |
| Harvard | Mamadaliyev, N., and Toshbuvayev, B (2026) ‘On the impact of the exponential functor on some types of continuous mappings’, O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-14 |
| BibTeX | @article{mamadaliyevn2026,
title = {On the impact of the exponential functor on some types of continuous mappings},
author = {Mamadaliyev, N. and Toshbuvayev, B.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {1},
doi = {10.29229/uzmj.2026-1-14},
url = {https://doi.org/10.29229/uzmj.2026-1-14}
} |
Boshqa maqola uchun iqtibos tayyorlash
Let two bounded simply connected domains $D\subset {\mathbb C}_{z}$, $G\subset {\mathbb C}_{w}$, and two locally regular compact subsets $E\subset D,\, \, \, F\subset G$ be given. If $f(z,w)$ is a separately analytic…
We consider a model of one-dimensional Schr\"odinger Hamiltonian perturbed by two identical non-local interactions of the form $\delta'(x\pm y)$, symmetrically located at the points $ \pm y$ from the origin. The…
We consider the Hamiltonian of a system of two fermions on a two-dimensional lattice ${\mathbb{Z}}^2$ with a certain type potential. It is proved that the subspace of odd functions $L^o_{ {2}} {(}{\mathbb{T}}^{ {2}}…
This work focuses on classifying three-dimensional complex Leibniz dialgebras. We present a complete list of these algebras when the annihilator of the associated Leibniz algebra is one-dimensional.
Non-homogeneous Beatty sequence is a sequence of positive integer that taking the floor value of irrational numbers. This paper using the prime counting function, $\pi(x)$ to estimate the cardinality of total distinct…
A one-dimensional inverse problem for a quasilinear hyperbolic system with an unknown excitation source is considered. The Cauchy problem for a nonlinear Hopf-type system is studied. A Fourier transform is used to…
This paper investigates the antiperiodic boundary value problem for a 2-parabolic equation with a time-deviating argument. A corresponding spectral problem is constructed, the symmetry of the differential operator is…
In this work, we investigate the thermodynamic properties of the three-state solid-on-solid (SOS) model on a binary Cayley tree. Employing recurrence relations, we analyze the partition function and derive explicit…
The paper studies quasitraces on real C*-algebras, and AW*-completion of C*-subalgebras with respect to the $d_\tau$-metric generated by quasitrace $\tau$. It is proved that the $d_\tau$-closure of unital real…
In this paper, $n$-quasitraces on real C*-algebras are studied. It is proved that if $R$ is a real C*-algebra, then the natural extension of an $n$-quasitrace of $R$ to $R+iR$ is also an $n$-quasitrace, and conversely…
O‘zbekiston matematika jurnali — barcha maqolalar · 2026-yil arxivi
This article presents the results of 2018-2023, such as biological diversity, inter-landscape distribution characteristics, density,and number of straggly insects identified from natural and anthropogenic areas of…
This article observational data on the species composition, distribution, population, density, and seasonal damage caused causedby herbivorus bugs. Observationes were carried out in April and September 2021. When…
In the article, the research fields of some species belonging to Paeonia, their significance in human life, adaptation features tovarious ecological conditions are highlighted, and the ecologist groups and other…
This article studies the number of species, population density of terrestrial mollusks of the Topalangdarya basin, located in theSurkhandarya region of Uzbekistan, in various altitudinal regions and biotopes and…
This article sheds light on changes in biomass formation and antimicrobial activity against test pathogenic strains under theinfluence of epigenetic modifiers and elicitors of the endophytic fungus Penicillium…
Shahimardonsoy covered issues such as the soil in the river basin and measures to increase its condition, salinity and fertility, theflora and fauna present in the basin landscape and their conservation.