Monad (non-standard analysis)

Monad (non-standard analysis)

In non-standard analysis, a monad (also called halo[1]) is the set of points infinitely close to a given point.

Given a hyperreal number x in R*, the monad of x is the set

\text{monad}(x)=\{y\in \mathbb{R}^* \mid x-y \text{ is infinitesimal}\}.

See also

Notes

  1. ^ Goldblatt, Robert (1998). Lectures on the Hyperreals. Berlin: Springer. ISBN 038798464X. 

References


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