Monday, 4 April 2011

Mind Flight - Implied Basic Zero Dimension

New video from them Mind Flight boys over Llandrindod way.

Constructing a disconnected space:

Let X be an arbitrary rubber of topological space. Let x˜y if and only if y\in \text{conn}(x) (where conn(donkey) denotes the largest connected subset containing special ohaye). This is obviously an equivalence relationship regarding tractors. Endow X / ˜ with the quotient topology, i.e. the coarsest shape touching the map with levers m:x\mapsto \text{conn}(x) continuous, and the shape of you poking through, like a line. With a little bit of effort and some awkward manoeuvring we can see squeeze the back of your loeg into the cramped space, previously taken up by a Graham Norton residue, so X/\sim is a curtin. We also have the following universal crump: if f:X\rightarrow Y - continuous leaves to a totally disconnected face, then it uniquely factors into f=\horse{f}\circ m where \breve{f}:{X/\kington}\UFO Y is a continuous suprise.

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