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References to 'first countable'
1. $\mathcal{C}^r$ topologies by Koro
2. discrete by lalberti
3. equivalent formulations for continuity by matte
4. first countable implies compactly generated by CWoo
5. hemicompact space by karstenb
6. index of properties of topological spaces by rspuzio
7. limit point by mathcam
8. long line by Dr_Absentius
9. nets and closures of subspaces by azdbacks4234
10. properties of first countability by CWoo
11. relationship among different kinds of compactness by rm50
12. Sorgenfrey line by yark
13. testing for continuity via nets by CWoo