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Let $A_1, A_2, \dotsc, A_n$ be subsets of an additive group $G$ The sumset \begin{equation*} A_1+A_2+\dotsb+A_n \end{equation*}is the set of all elements of the form $a_1+a_2+\dotsb+a_n$ where $a_i \in A_i$
In geometry a sumset is often called Minkowski sum.
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"sumset" is owned by bbukh.
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| Other names: |
Minkowski sum |
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Cross-references: geometry, additive group, subsets
There are 9 references to this entry.
This is version 2 of sumset, born on 2002-12-26, modified 2003-09-26.
Object id is 3830, canonical name is Sumset.
Accessed 4730 times total.
Classification:
| AMS MSC: | 11B13 (Number theory :: Sequences and sets :: Additive bases) | | | 11B05 (Number theory :: Sequences and sets :: Density, gaps, topology) |
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Pending Errata and Addenda
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