Some remarks on selectively highly divergent spaces

In this paper, we study selectively highly divergent (SHD) spaces on hyperspaces with the Vietoris topology and the Pixley-Roy topology. Moreover, we show that they are preserved under quasi-perfect countable-to-one mappings and preserved inversely under quasi-open mappings.

Authors

Institutions

Publication Details

Journal
Applied General Topology
Published
2026-02-24
DOI
https://doi.org/10.4995/agt.22295
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Some remarks on selectively highly divergent spaces

Nguyen Xuan Truc, Ong Van Tuyen, Luong Quoc Tuyen
Applied General Topology
Advanced Topology and Set Theory
article

Some remarks on selectively highly divergent spaces

Nguyen Xuan Truc, Ong Van Tuyen, Luong Quoc Tuyen
article en

Abstract

In this paper, we study selectively highly divergent (SHD) spaces on hyperspaces with the Vietoris topology and the Pixley-Roy topology. Moreover, we show that they are preserved under quasi-perfect countable-to-one mappings and preserved inversely under quasi-open mappings.

Applied General TopologyVol. 27(1)
University of Da Nang (VN)
Openalex Percentile: Top 40%
Advanced Topology and Set Theory
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.