Mathematical Notes for Analysis
and Point-Set Topology

Last revised 28 OCT 2010, by JMB
Maybe you really want the index page instead.

All these notes are available in both DVI and PDF formats.

Relations between Points and Sets (1 page)
Relations between Points and Subsets (1 page)
These two pages display all the possible relations between a point p and a subset E or A of a topological space. The second version is only slightly different. At the first level of information, no distinction is made between p and other points of its neighborhood; this defines the interior, exterior and boundary and hence open and closed sets. The second level of information allows the definition of limit points and isolated points.
The first is available in your choice of:
- Points and Sets, in DVI format or
- Points and Sets, in PDF format.
The second is available in your choice of:
- Points and Subsets, in DVI format or
- Points and Subsets, in PDF format.
Function Spaces (2 pages) This is a brief introduction to the compact-open topology on a function space. Available in your choice of:
- Function Spaces, in DVI format or
- Function Spaces, in PDF format.
Inverse Function Theorem (2 pages) A proof of the inverse function theorem of Calculus III by means of the contraction mapping theorem. Available in your choice of:
- Inverse Fn Theorem, in DVI format or
- Inverse Fn Theorem, in PDF format.