Geodesic
Realizing arbitrarily large spectra of $\mathfrak a_{\mathrm T}$
Zbornik radova, Tome 22 (2025) no. 30, p. 217

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DOI

We improve the state-of-the-art proof techniques for realizing various spectra of $\aT$ in order to realize arbitrarily large spectra. Thus, we make significant progress in addressing a question posed by Brian in his work~\cite{Brian_2021}. As a by-product, we obtain many complete subforcings and an algebraic analysis of the automorphisms of the forcing which adds a witness for the spectrum of $\aT$ of desired size.
DOI : 10.64191/zr24040410107
Classification : 03E17 03E35
Keywords: cardinal characteristics, spectrum, partitions into compact sets 
Vera Fischer; Lukas Schembecker. Realizing arbitrarily large spectra of $\mathfrak a_{\mathrm T}$. Zbornik radova, Tome 22 (2025) no. 30, p. 217 . doi: 10.64191/zr24040410107
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     title = {Realizing arbitrarily large spectra of $\mathfrak a_{\mathrm T}$},
     journal = {Zbornik radova},
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     year = {2025},
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     doi = {10.64191/zr24040410107},
     language = {en},
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