Geodesic
Selection principles and proofs from the Book
Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 478-492

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DOI

I provide simplified proofs for each of the following fundamental theorems regarding selection principles: (1) The Quasinormal Convergence Theorem, due to the author and Zdomskyy, asserting that a certain, important property of the space of continuous functions on a space is actually preserved by Borel images of that space.(2) The Scheepers Diagram Last Theorem, due to Peng, completing all provable implications in the diagram.(3) The Menger Game Theorem, due to Telgársky, determining when Bob has a winning strategy in the game version of Menger’s covering property.(4) A lower bound on the additivity of Rothberger’s covering property, due to Carlson.The simplified proofs lead to several new results.
DOI : 10.4153/S0008439523000905
Mots-clés : Selection principles, quasinormal convergence, Rothberger property, Menger property, Hurewicz property 
Tsaban, Boaz. Selection principles and proofs from the Book. Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 478-492. doi: 10.4153/S0008439523000905
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