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5.3 Neighbourhoods

We know that a polygon X is a surface and so each point x in X has a disc-like or half-disc-like neighbourhood. We shall show that a map f that identifies edges of a polygon to create an object Y automatically creates corresponding disc-like or half-disc-like neighbourhoods of each point y = f(x) of Y.

If x is in the interior of X, there is no difficulty: the point x has a disc-like neighbourhood U
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Learning outcomes

After studying this unit you should be able to:

  • grasp the concepts of nation, nationalism and self-determination;

  • have a better understanding of the role they play in current political disputes;

  • think about the problem of how to take democratic decisions about secession;

  • relate political theory to political practice more rigorously;

  • take a more informed and active part in debates about national and international politic
    Author(s): The Open University

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    Original Copyright © 2005 The Open University. Now made available within the Creative Commons framework under the CC Attribution – Non-commercial licence (see http://creativecommons.org/licenses/by

4 References and further reading

There are a wide range of perspectives on science–society relations. In part, this is reflected in the different readings listed below. They have been chosen to address issues that we feel are relevant to current debates about science–society relations.

Durodié, B. (2002, April 12). ‘Why I think a dialogue with the public will undermine science’, The Times Higher Education Supplement, p. 16.

Gibbons, M. (1999). Science’s new social contract with society, Natur
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VIOLIN: Vaccine Investigation and Online Information Network

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12.1 Two models

So far you've seen that there are two general drivers of invention. One is the scientific and technological knowledge and skills that can be applied to invent a new product or process. The other is the recognition of a need or a potential market for an invention. But is one more important than the other? I'll consider briefly two simple models that explain how the innovation process starts.


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6.2 ‘No-choice’ dispersal

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