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Pointed Gromov-Hausdorff Distance between lp-Wedge Sums and Isometric Embeddings of l∞
Abstract
The paper studies lp-wedge sums of metric spaces and provides a two-sided estimate for the pointed Gromov-Hausdorff distance between them. Using an upper bound for the Gromov-Hausdorff distance, the existence of an isometric embedding of l∞ into the Gromov-Hausdorff space of all non-empty metric spaces is proved.
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BibTeX
@misc{abdullaev2026pointed,
title = {{Pointed Gromov-Hausdorff Distance between $l^p$-Wedge Sums and Isometric Embeddings of $l^\infty$}},
author = {Emin Abdullaev},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12626},
eprint = {2610.12626},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12626},
}
RIS
TY - UNPB
TI - Pointed Gromov-Hausdorff Distance between l^p-Wedge Sums and Isometric Embeddings of l^∞
AU - Emin Abdullaev
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.12626
UR - https://arxiv.org/abs/2610.12626
AB - The paper studies l^p-wedge sums of metric spaces and provides a two-sided estimate for the pointed Gromov-Hausdorff distance between them. Using an upper bound for the Gromov-Hausdorff distance, the existence of an isometric embedding of l^∞ into the Gromov-Hausdorff space of all non-empty metric spaces is proved.
ER -