Past Junior Analytic Topology Seminar

3 March 2014
14:00
Robert Leek
Abstract
We will introduce a few class of generalised metrisable properties; that is, properties that hold of all metrisable spaces that can be used to generalise results and are in some sense 'close' to metrisability. In particular, we will discuss Moore spaces and the independence of the normal Moore space conjecture - Is every normal Moore space metrisable?
  • Junior Analytic Topology Seminar
24 February 2014
14:00
Richard Lupton
Abstract

We explore the technique of elementary submodels to prove 
results in topology and set theory. We will in particular prove the 
delta system lemma, and Arhangelskii's result that a first countable 
Lindelof space has cardinality not exceeding continuum.

  • Junior Analytic Topology Seminar
17 February 2014
14:00
Robert Leek
Abstract

 We will introduce 2 types of topological games (Menger and
> Telgársky) and show how the existence or non-existence of winning
> strategies implies certain properties of the underlying topological
> space. We will then show how these, and related properties, interact
> D-spaces.

  • Junior Analytic Topology Seminar
4 November 2013
14:00
Robert Leek
Abstract

This is the first of a series of talks based on Gary 
Gruenhage's 'A survey of D-spaces' [1]. A space is D if for every 
neighbourhood assignment we can choose a closed discrete set of points 
whose assigned neighbourhoods cover the space. The mention of 
neighbourhood assignments and a topological notion of smallness (that 
is, of being closed and discrete) is peculiar among covering properties. 
Despite being introduced in the 70's, we still don't know whether a 
Lindelöf or a paracompact space must be D. In this talk, we will examine 
some elementary properties of this class via extent and Lindelöf numbers.

  • Junior Analytic Topology Seminar