Peer-Reviewed

1. Miguel A. Cardona. Soft-linkednes. Submitted.

2.  Miguel A. Cardona, Diego A. Mejıa, and Ismael E. Rivera-Madrid. The uniformity numbers of the null-additive and meager-additive ideal. Submitted. 

3.  Jorg Brendle, Miguel A. Cardona, and Diego A. Mejia. Separating cardinal characteristics of the strong measure zero ideal. Submitted. 

4. Miguel A. Cardona, and Diego A. Mejia. More about the cofinality and the covering of the ideal of strong measure zero sets. Submitted.

5. Miguel A. Cardona, Lukas Daniel Klausner, and Diego A. Mejia. Continuum Many Different Things: Localisation, Anti-Localisation, and Yorioka Ideals. Ann. Pure Appl. Logic, 175(7):103453, 2024

6. Miguel A. Cardona. Friendly Iteration Forcing that the Four Cardinal Characteristics of E can be Pairwise Different. Colloquium Mathematicum, 173:123-157, 2023.

7. Miguel A. Cardona. On cardinal characteristics associated with the strong measure zero ideal. Fundam. Math., 257:289–304, 2022. 

8. Miguel A. Cardona, Diego A. Mejıa, and Ismael E. Rivera-Madrid. The covering number of the strong measure zero ideal can be above almost everything else. Archive for Mathematical Logic volume 61, pages 599–610, 2022. 

9. Jorg Brendle, Miguel A. Cardona, and Diego A. Mejıa. Filter-linkedness and its effect on the preservation of cardinal characteristics. Ann. Pure Appl. Logic, 172(1): Paper No. 102856, 30, 2021.

10. Miguel A. Cardona and Diego A. Mejıa. On Cardinal Characteristics of Yorioka Ideals. Math. Log. Q., 65(2):170–199, 2019.

 In preparation / Ongoing projects

1. Miguel A.  Cardona, Viera Gavalova, Diego A. Mejia, Miroslav Repicky and Jaroslav Supina. Slalom numbers.

2. Miguel A. Cardona, Adam Marton, and Jaroslav Supin. Cardinal characteristics associated with small subsets of reals.

3. Miguel A. Cardona, Diego A. Mejia, and Andres F. Uribe-Zapata. A general theory of iterated forcing using finitely additive measures.

4. Miguel A. Cardona, Diego A. Mejia, Carlos M. Parra, and Andres F. Uribe-Zapata. Finitely additive measures on Boolean algebras.

5. Miguel A. Cardona and Saharon Shelah. Long iterations for the continuum.

6. Miguel A.  Cardona and Miroslav Repicky.  On the cardinal characteristics related to constant evasion and prediction. 

7. Miguel A.  Cardona. More density slaloms. 

  Papers conference 

1. Miguel A. Cardona. The cardinal characteristics of the ideal generated by the F_σ measure zero subsets of the reals.  To appear in Kyoto Daigaku Surikaisekin Kenkyusho Kokyuroku. 

2. Miguel A. Cardona and Diego A. Mejıa, Localization and anti-localization cardinals. To appear in Kyoto Daigaku Surikaisekin Kenkyusho Kokyuroku, 2261 www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2261-07.pdf 

3. . Miguel A. Cardona and Diego A. Mejıa. Forcing constellations of cicho´n’s diagram by using the Tukey order. Kyoto Daigaku Surikaisekin Kenkyusho Kokyuroku, 2213:14–47, 2022. www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2213.html 

4. Miguel A. Cardona. Tukey-order with models on Pawlowski’s theorems. Kyoto Daigaku Surikaisekin Kenkyusho Kokyuroku, 2198:16–20, 2021. www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2198-07.pdf 

5. Miguel A. Cardona. Cohen real or random real: effect on strong measure zero sets and strongly meager sets. Kyoto Daigaku Surikaisekin Kenkyusho Kokyuroku, 2164:85–92, 2020.  www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2164.html 

6. Miguel A. Cardona. Yorioka’s characterization of the cofinality of the strong measure zero ideal and its independence from the continuum. Kyoto Daigaku Surikaisekin Kenkyusho Kokyuroku, 2141:289–304, 2019. www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2141.html