| Title: | Mathematics at DEC |
| Moderator: | RUSURE::EDP |
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
| T.R | Title | User | Personal Name | Date | Lines |
|---|---|---|---|---|---|
| 873.1 | Topology | ZFC::DERAMO | I am, therefore I'll think. | Tue May 17 1988 22:57 | 17 |
From: _Topology A First Course_, James R. Munkres,
Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
(pg. 76) [The following is almost but not quite verbatim.]
Definition. A topology on a set X is a collection T of
subsets of X having the following properties:
1. The empty set and X are in T.
2. The union of the elements of any subcollection
of T is in T.
3. The intersection of the elements of any finite
subcollection of T is in T.
A topological space is an ordered pair (X,T) consisting
of a set X and a topology T on X. A subset U of X is
an open set of (X,T) if U belongs to the collection T.
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| 873.2 | CTCADM::ROTH | If you plant ice you'll harvest wind | Wed May 18 1988 08:11 | 4 | |
Of course, that definition will not help you when it comes time to
write some solid modelling mechanical CAD software...
- Jim
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