Some invariants under monotone transformations

D. W. Hall, A. D. Wallace
1939 Bulletin of the American Mathematical Society  
We assume that S is a locally connected, connected, compact metric space and that P is a property of point sets. For any two points a and b of S we denote by C(ab) (respectively d(ab)) a closed (closed irreducible) cutting of S between the points a and b. We consider the following properties:
doi:10.1090/s0002-9904-1939-06964-4 fatcat:qno4uwfhbjfa3ckkioc5fnxrri