Skip to content

Commit

Permalink
Further tweaks
Browse files Browse the repository at this point in the history
  • Loading branch information
SamAdamDay committed Feb 10, 2023
1 parent 36cd204 commit d951bec
Show file tree
Hide file tree
Showing 7 changed files with 8 additions and 61 deletions.
2 changes: 2 additions & 0 deletions _bibliography/papers.bib
Original file line number Diff line number Diff line change
Expand Up @@ -34,6 +34,7 @@ @article{adam-day-2022-continuous-gradability
arxiv = {2107.14718},
abstract = {An \(\mathbb R\)-tree is a certain kind of metric space tree in which every point can be branching. Favre and Jonsson posed the following problem in 2004: can the class of orders underlying \(\mathbb R\)-trees be characterised by the fact that every branch is order-isomorphic to a real interval? In the first part, I answer this question in the negative: there is a 'branchwise-real tree order' which is not `continuously gradable'. In the second part, I show that a branchwise-real tree order is continuously gradable if and only if every well-stratified subtree is \(\mathbb R\)-gradable. This link with set theory is put to work in the third part answering refinements of the main question, yielding several independence results. For example, when \(\kappa \geq \mathfrak c\), there is a branchwise-real tree order which is not continuously gradable, and which satisfies a property corresponding to \(\kappa\)-separability. Conversely, under Martin's Axiom at \(\kappa\) such a tree does not exist.},
preview = {tree-geodesics.png},
abbr = {TA},
selected = {true},
}

Expand Down Expand Up @@ -80,6 +81,7 @@ @misc{adam-day-2022-poly-completeness
arxiv = {2112.07518},
abstract = {We investigate a recently-devised polyhedral semantics for intermediate logics, in which formulas are interpreted in n-dimensional polyhedra. An intermediate logic is polyhedrally complete if it is complete with respect to some class of polyhedra. The first main result of this paper is a necessary and sufficient condition for the polyhedral-completeness of a logic. This condition, which we call the Nerve Criterion, is expressed in terms of Alexandrov's notion of the nerve of a poset. It affords a purely combinatorial characterisation of polyhedrally-complete logics. Using the Nerve Criterion we show, easily, that there are continuum many intermediate logics that are not polyhedrally-complete but which have the finite model property. We also provide, at considerable combinatorial labour, a countably infinite class of logics axiomatised by the Jankov-Fine formulas of 'starlike trees' all of which are polyhedrally-complete. The polyhedral completeness theorem for these 'starlike logics' is the second main result of this paper.},
preview = {elementary-subdivisions.png},
abbr = {JSL},
}

@mastersthesis{adam-day-2019-msc-thesis,
Expand Down
12 changes: 0 additions & 12 deletions _data/repositories.yml

This file was deleted.

9 changes: 4 additions & 5 deletions _data/venues.yml
Original file line number Diff line number Diff line change
@@ -1,6 +1,5 @@
"AJP":
url: https://aapt.scitation.org/journal/ajp
color: "#00369f"
"TA":
url: https://www.sciencedirect.com/journal/topology-and-its-applications

"PhysRev":
url: https://journals.aps.org/
"JSL":
url: https://www.cambridge.org/core/journals/journal-of-symbolic-logic
2 changes: 1 addition & 1 deletion _pages/about.md
Original file line number Diff line number Diff line change
Expand Up @@ -17,7 +17,7 @@ social: true # includes social icons at the bottom of the page



Currently I am in my final of a PhD at the [Mathematical Institute](https://www.maths.ox.ac.uk/) the [University of Oxford](https://www.ox.ac.uk/).
Currently I am in my final of a PhD at the [Mathematical Institute](https://www.maths.ox.ac.uk/) of the [University of Oxford](https://www.ox.ac.uk/).

The following are broadly my current research interests. See also my [list of publications](/publications).
- Multi-agent cooperation
Expand Down
30 changes: 0 additions & 30 deletions _pages/repositories.md

This file was deleted.

12 changes: 0 additions & 12 deletions _pages/teaching.md

This file was deleted.

2 changes: 1 addition & 1 deletion news.html
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
---
layout: page
title: news
title: News
permalink: /news/
---

Expand Down

0 comments on commit d951bec

Please sign in to comment.