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'direct image'
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| Title of object: |
direct image |
| Canonical Name: |
DirectImage |
| Type: |
Definition |
| Created on: |
2001-10-21 01:46:42 |
| Modified on: |
2002-08-22 08:00:31 |
| Classification: |
msc:03E20 |
| Synonyms: |
direct image=image |
Revision comment (for changes between this and next version):
| Changes for correction #6776 ('properties'). |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic} |
Content:
| Let $f: A \longrightarrow B$ be a function, and let $U \subset A$ be a subset. The {\em direct image} of $U$ is the set $f(U) \subset B$ consisting of all elements of $B$ which equal $f(u)$ for some $u \in U$. |
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