Comparing topologies on linearly recursive sequences
Metadatos
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Drustvo Matematikov, Fizikov in Astronomov
Materia
Linearly recursive sequences Adic topologies Power series Hopf algebras
Fecha
2019Referencia bibliográfica
El Kaoutit, L., & Saracco, P. (2019). Comparing topologies on linearly recursive sequences. ARS MATHEMATICA CONTEMPORANEA, 16(2), 319-329
Resumen
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.