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Results tagged with tropical-geometry
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user 2811
For questions about tropical geometry, piece-wise linear functions with integer slopes, tropical degenerations and applications of tropical geometry, max-plus algebra, and tropical semifields.
18
votes
1
answer
381
views
Categorical description of log as approximate rig homomorphism?
Summary
The base-$\beta$ logarithm gives an isomorphism of topological spaces
$$
\log_\beta\colon\mathbb{R}_{\geq0}\xrightarrow{\cong}[-\infty,\infty).
$$
This continuous map preserves some algebraic …
- 8,659
3
votes
Categorical description of log as approximate rig homomorphism?
Summary
While it could certainly be prettied up, it seems that the basic idea is actually fairly straightforward: use each $\log_\beta$ to transport the rig structure from $\mathbb{R}_{\geq0}$ to th …
- 8,659