A non-D-continuum with weakly infinite-dimensional closed set-aposyndetic Whitney levels
General Topology
2025-02-05 v1
Abstract
In this paper, we introduce the new class of continua; weakly infinite-dimensional closed set-aposyndetic continua. With this notion, we show that there exists a non-D-continuum such that each positive Whitney level of the hyperspace of the continuum is a weakly infinite-dimensional closed set-aposyndetic continuum. This result strengthens those of van Douwen and Goodykoontz [2], Illanes [7], and the main result of Illanes et al. [9].
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Cite
@article{arxiv.2502.01935,
title = {A non-D-continuum with weakly infinite-dimensional closed set-aposyndetic Whitney levels},
author = {Eiichi Matsuhashi},
journal= {arXiv preprint arXiv:2502.01935},
year = {2025}
}
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7 pages