The compactness of the town means you can walk around it easily.
We are amazed at the device's compactness - about the size of a paperback book.
The Beetle's compactness means that there is little space between the occupant and the windshield.
We have chosen to use dilation and compactness here, because we will use the same technique again when bounding smoothed projections.
By mimicking the compactness definition for domain elements, the notion of a finite object in a category is introduced.
A formal definition and a thorough discussion of the concepts of compactness and quasi compactness of operators is out of the question here.
Finally, we get the existence of the required solution using compactness arguments.
The compactness and connectivity conditions are thus crucial for a reliable shape reconstruction using bead modelling techniques.
