Abstract
We introduce a category of (topological) measure spaces in which inductive limitis exist and where the Banach spaces
![](http://media.springernature.com/lw685/springer-static/image/art%3A10.1007%2FBF02844679/MediaObjects/12215_2008_BF02844679_f1.jpg)
and
![](http://media.springernature.com/lw685/springer-static/image/art%3A10.1007%2FBF02844679/MediaObjects/12215_2008_BF02844679_f2.jpg)
(1≤p≤+∞) are isometric for arbitrary inductive systems
![](http://media.springernature.com/lw685/springer-static/image/art%3A10.1007%2FBF02844679/MediaObjects/12215_2008_BF02844679_f3.jpg)
of (topological) measure spaces.
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Macheras, N.D. On inductive limits of measure spaces. Rend. Circ. Mat. Palermo 44, 441–456 (1995). https://doi.org/10.1007/BF02844679
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DOI: https://doi.org/10.1007/BF02844679