This thesis treats the problem of enumerating equivalence
classes of Euler paths of full graphs. A full graph
is a complete, unordered, graph with no loops or repeated
edges. Two Euler paths are equivalent if and only if one
can be transformed into the other by a finite sequence of...
The Cantor set is a compact, totally disconnected, perfect
subset of the real line. In this paper it is shown that two non-empty,
compact, totally disconnected, perfect metric spaces are homeomorphic.
Furthermore, a subset of the real line is homeomorphic
to the Cantor set if and only if it is...
This paper defines four function space topologies,
characterizes two of them in terms of more familiar
concepts, and compares the four topologies. Then in the
cases of the two less familiar topologies we have considered
several common properties of topological spaces
and attempted to answer the following question: If the...