TL;DR
This paper introduces the Exchange of Independent Sets (EIS) property for dependence spaces and proves that all dependence spaces satisfy this property, expanding the theoretical understanding of dependence structures.
Contribution
The paper defines the EIS property for dependence spaces and demonstrates that it universally holds in such spaces, providing new insights into their structure.
Findings
Dependence spaces satisfy the EIS property.
The EIS property is a new characteristic of dependence spaces.
The paper advances the theoretical framework of dependence spaces.
Abstract
We introduce the concept of Exchange of Independent Sets (EIS) property for spaces. We show that in a dependence spaces the EIS property holds.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rough Sets and Fuzzy Logic · Constraint Satisfaction and Optimization