Comparing topologies on linearly recursive sequences
Commutative Algebra
2019-01-11 v1 General Topology
Rings and Algebras
Abstract
The space of linearly recursive sequences of complex numbers admits two distinguished topologies. Namely, the adic topology induced by the ideal of those sequences whose first term is and the topology induced from the Krull topology on the space of complex power series via a suitable embedding. We show that these topologies are not equivalent.
Cite
@article{arxiv.1705.03433,
title = {Comparing topologies on linearly recursive sequences},
author = {Laiachi El Kaoutit and Paolo Saracco},
journal= {arXiv preprint arXiv:1705.03433},
year = {2019}
}
Comments
8 pages