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arXiv · 1705.03433

Comparing topologies on linearly recursive sequences

Laiachi El Kaoutit·Paolo Saracco
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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 $0$ 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.

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Laiachi El Kaoutit, Paolo Saracco. 2017-05-09. Comparing topologies on linearly recursive sequences. https://doi.org/10.26493/1855-3974.1436.7a2

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