Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A microscopic approach to Souslin-tree construction, Part II   In Part I of this series, we presented the microscopic approach to
Souslin-tree constructions, and argued that all known $\diamondsuit$-based
constructions of Souslin trees with various additional properties may be
rendered as applications of our approach. In this paper, we show that
constructions following the same approach may be carried out even in the
absence of $\diamondsuit$. In particular, we obtain a new weak sufficient
condition for the existence of Souslin trees at the level of a strongly
inaccessible cardinal.
  We also present a new construction of a Souslin tree with an ascent path,
thereby increasing the consistency strength of such a tree's nonexistence from
a Mahlo cardinal to a weakly compact cardinal.
  Section 2 of this paper is targeted at newcomers with minimal background. It
offers a comprehensive exposition of the subject of constructing Souslin trees
and the challenges involved.

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The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn