تسجيل الدخول

تسجيل

Compactum

المؤلف:  Charatonik, J. J. and Prajs, J. R.

المصدر:  "On Local Connectedness of Absolute Retracts." Pacific J. Math. 201

الجزء والصفحة:  83-88

16-7-2021

2569

Compactum

A compactum (plural: compacta) is a compact metric space.

An example of a compactum is any finite discrete metric space. Also, the space  is a compactum, with the usual metric inherited from the real line. Notice that this latter example is a compactum that is not a continuum, because it is not connected. A continuum is a connected compactum.

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REFERENCES:

Charatonik, J. J. and Prajs, J. R. "On Local Connectedness of Absolute Retracts." Pacific J. Math. 201, 83-88, 2001.