Abstract
Topological p-adic vector spaces and index theory
Highlights
This report is part of a work developed from Robba’s ideas whose ultimate goal would be to obtain a general finiteness theorem for p-adic cohomology
The map u is said to have an index if both ker u and coker u = E/ Im u are finite-dimensional
Every Banach space has Banach’s property
Summary
This report is part of a work developed from Robba’s ideas whose ultimate goal would be to obtain a general finiteness theorem for p-adic cohomology. The map u is said to have an index if both ker u and coker u = E/ Im u are finite-dimensional. Is isomorphic to the dual of the space coker(u) endowed with the quotient topology. The space E is said to have Banach’s property if both conditions u continuous and coker u finite-dimensional imply that Im u is closed.
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