Geodesic
Comparing topologies on linearly recursive sequences
Ars Mathematica Contemporanea, Tome 16 (2019) no. 2, pp. 319-329.

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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.
DOI : 10.26493/1855-3974.1436.7a2
Keywords: Linearly recursive sequences, adic topologies, power series, Hopf algebras 
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Laiachi El Kaoutit; Paolo Saracco. Comparing topologies on linearly recursive sequences. Ars Mathematica Contemporanea, Tome 16 (2019) no. 2, pp. 319-329. doi : 10.26493/1855-3974.1436.7a2. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1436.7a2/

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