Thesis

### The internal structure of irreducible continua

Subtitle:
With a focus on local connectedness and monotone maps
Abstract:

This thesis is an examination of the structure of irreducible continua, with a particular emphasis on local connectedness and monotone maps. A continuum is irreducible if there exist a pair of points such that no proper subcontinuum contains both, with the arc being the most basic example. Being irreducible has a number of interesting implications for a continuum, both locally and globally, and it is these consequences we shall focus on.

As mentioned above, the arc is the most stra...

Files:
• (pdf, 1.8mb)

### Authors

David Harper More by this author

#### Contributors

Role:
Examiner
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects: