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• # Artykuł - szczegóły

## Open Mathematics

2010 | 8 | 6 | 1009-1015

## Ends and quasicomponents

EN

### Abstrakty

EN
Let X be a connected locally compact metric space. It is known that if X is locally connected, then the space of ends (Freudenthal ends), EX, can be represented as the inverse limit of the set (space) S(X C) of components of X C, i.e., as the inverse limit of the inverse system $$EX = \mathop {\lim }\limits_ \leftarrow (S(X\backslash C)),inclusions,CcompactinX)$$. In this paper, the above result is significantly improved. It is shown that for a space which is not locally connected, we can replace the space of components by the space of quasicomponents Q(X C) of X C. The following result is proved: if X is a connected locally compact metric space, then $$EX = \mathop {\lim }\limits_ \leftarrow (Q(X\backslash C)),inclusions,CcompactinX)$$.

EN

1009-1015

wydano
2010-12-01
online
2010-10-30

### Twórcy

autor
• Sts. Cyril and Methodius University
autor
• Sts. Cyril and Methodius University

### Bibliografia

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