| Title:
|
A PU-integral on an abstract metric space (English) |
| Author:
|
Riccobono, Giuseppa |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
122 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
83-95 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we define a $\PU$-integral, i.e. an integral defined by means of partitions of unity, on a suitable compact metric measure space, whose measure $\mu$ is compatible with its topology in the sense that every open set is $\mu$-measurable. We prove that the $\PU$-integral is equivalent to $\mu$-integral. Moreover, we give an example of a noneuclidean compact metric space such that the above results are true. (English) |
| Keyword:
|
PU-integral |
| Keyword:
|
partition of unity |
| MSC:
|
26A39 |
| MSC:
|
28A25 |
| MSC:
|
46G12 |
| idZBL:
|
Zbl 0891.28003 |
| idMR:
|
MR1446402 |
| DOI:
|
10.21136/MB.1997.126181 |
| . |
| Date available:
|
2009-09-24T21:23:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126181 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
