---------- Forwarded message ---------
From: Jing Guo <dev....@gmail.com>
Date: Wed, 27 Jul 2022, 10:49
Subject: [sage-devel] Return "type" of the `logarithmic_embedding` function
To: sage-devel <sage-...@googlegroups.com
I am implementing the `logarithmic_embedding` function  (based on Krumm's code) for my GSoC project, which is used for implementing `points_of_bounded_height` function .
However, we encounter the following problem:
By definition (Def. 4.9.6, on page 208 of "A course in computational algebraic number theory"), the logarithmic embedding is a map from number field K to R^n. We are not sure how this function should return, and we consider two options:
1. The function returns a function closure, see examples in 
2. It returns a morphism, which is more mathematically correct:
V = VectorSpace(RR, 1)
K = CyclotomicField(3)
B = Hom(K, V, category=Sets())
phi = B(log_map)
Which one do you think is better from math and software engineering perspectives? Are there any other approaches that would be better for this case?
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