Definition:Boundary (Topology)/Also defined as
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Boundary in the context of Topology: Also defined as
Some sources define the boundary of a subset of a topological space $T = \struct {S, \tau}$ as:
However, this definition is of little use without rigorous definitions of approach, inside and outside.
Consequently, such imprecise definitions are not used on $\mathsf{Pr} \infty \mathsf{fWiki}$.
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): boundary (of a surface)