- Tytuł:
- Compositions of simple maps
- Autorzy:
- Krzempek, Jerzy
- Powiązania:
- https://bibliotekanauki.pl/articles/1205181.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
composition
simple map
closed map
map of order ≤ k
finite-dimensional
zero-dimensional
Cantor cube - Opis:
-
A map (= continuous function) is of order ≤ k if each of its point-inverses has at most k elements. Following [4], maps of order ≤ 2 are called simple.
Which maps are compositions of simple closed [open, clopen] maps? How many simple maps are really needed to represent a given map? It is proved herein that every closed map of order ≤ k defined on an n-dimensional metric space is a composition of (n+1)k-1 simple closed maps (with metric domains). This theorem fails to be true for non-metrizable spaces. An appropriate map on a Cantor cube of uncountable weight is described. - Źródło:
-
Fundamenta Mathematicae; 1999, 162, 2; 149-162
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł