A problem in nonstandart analysis |
|
| Author |
Department of Mechanics and Mathematics, Lviv University
|
| Abstract |
Nonstandard Analysis revealed some interest aspects in classical concepts
of usual standard Mathematics. An~elementary example is compactness of
a~standard topological space with nonstandard proof of the~Peano theorem.
It
is desirable to explain from nonstandard point of view what
the~principle of uniform boundness or the principle of openness of a~map
means, in
particular, for hyperfinite space. Give nonstandard proofs of these
theorems.
|
| Keywords |
nonstandard analysis, compactness, standard topological space, Peano theorem, uniform boundedness principle, hyperfinite space
|
| DOI |
doi:10.30970/ms.7.2.211-211
|
Reference |
No references.
|
| Pages |
211
|
| Volume |
7
|
| Issue |
2
|
| Year |
1997
|
| Journal |
Matematychni Studii
|
| Full text of paper | |
| Table of content of issue |