A bump in the road in elementary topology
Bruce Blackadar

TL;DR
The paper highlights a subtle, often overlooked issue in the definitions of relative and weak topologies in elementary topology, which could impact understanding and application of these concepts.
Contribution
It identifies a subtle difficulty in the standard definitions of relative and weak topologies that has been generally unnoticed.
Findings
Unnoticed difficulty in defining relative topology
Potential implications for topology education and research
Highlights need for careful consideration of topology definitions
Abstract
We observe a subtle and apparently generally unnoticed difficulty with the definition of the relative topology on a subset of a topological space, and with the weak topology defined by a function.
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Taxonomy
TopicsAdvanced Topology and Set Theory
