simplest_topology: Create a topology with completely disconnected sets
Description
This function generates a topology where each set in the topology
is a singleton (contains only one element), resulting in a completely
disconnected topological structure. Each vertex exists in isolation,
with no meaningful connections between sets.
Usage
simplest_topology(datos)
Value
A list with four components:
R
List. The equivalence relation defined on the data vertices.
subbase
List. Sets of individual vertices forming the subbase.
base
List. Singleton sets forming the base of the topology.
topology
List. The complete topology consisting of disconnected singleton sets.
Arguments
datos
Numeric vector containing the data points to analyze
Details
The subbase contains individual elements. The base consists of singleton sets.
The topology is formed by these singleton sets. No meaningful topological
relationships are established between elements.