NonExistence of Manifold structure on topological constructions
Algebraic Topology
2022-03-22 v1
Abstract
We show the non existence of manifold structure on certain topological constructions. The main results of this paper are: (1) The wedge of manifold with itself is not a manifold. (2) The cone of a manifold is not a manifold. The main tools for the main result is homological algebra and algebraic topology.
Cite
@article{arxiv.2203.10419,
title = {NonExistence of Manifold structure on topological constructions},
author = {Mohammad Al Attar},
journal= {arXiv preprint arXiv:2203.10419},
year = {2022}
}