4.4 Historical note on the Euler characteristic
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Author(s): The Open University

4.3 The Euler characteristic
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Author(s): The Open University

4.2 Subdivisions
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Author(s): The Open University

4.1 Nets on surfaces
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Author(s): The Open University

3.3 The projective plane
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Author(s): The Open University

3.2.1 Remarks
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Author(s): The Open University

3.2 Orientability
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Author(s): The Open University

3.1.1 Inserting half-twists
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Author(s): The Open University

3.1 Surfaces with twists
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Author(s): The Open University

4.2.1 Eco-efficiency = money in the bank
Human societies have to take urgent action to end their dependences on fossil fuels. We have to alter the whole path of our development and decision making in order to make our societies both environmentally adaptable and sustainable. This unit takes on the task of trying to chart some of the ways in which it might be possible.
Author(s): The Open University

3.3.1 Too late for the nation state?
Human societies have to take urgent action to end their dependences on fossil fuels. We have to alter the whole path of our development and decision making in order to make our societies both environmentally adaptable and sustainable. This unit takes on the task of trying to chart some of the ways in which it might be possible.
Author(s): The Open University

3.3 Green governance needs citizens
Human societies have to take urgent action to end their dependences on fossil fuels. We have to alter the whole path of our development and decision making in order to make our societies both environmentally adaptable and sustainable. This unit takes on the task of trying to chart some of the ways in which it might be possible.
Author(s): The Open University

After completing this unit you may wish to study another OpenLearn Study Unit or find out more about this topic. Here are some suggestions:

If a poem rhymes, then considering how the rhyme works is always important.

Rhyme schemes can be simple or highly intricate and complex; it will always be worth considering why a particular rhyme pattern was chosen and trying to assess its effects.

## Activity 4

Author(s): No creator set

1 Overview
Does the recruitment and selection process fill you with dread? Discrimination and equal opportunities legislation can make this area feel like a minefield. If you are faced with appointing a new employee, then this unit will provide a straight-forward guide to the process: from writing job descriptions to finally assessing who to appoint.
Author(s): The Open University

The cultural perspective has become popular in business studies because it offers a way of explaining performance and understanding difference. It is only one way of analysing business, but it is an interesting one as it focuses particularly on the insider point of view, or on what it is ‘reallyâ€™ like to work in an organisation. There have been many definitions of organisational culture. One definition that is often cited is:

Author(s): No creator set

This Key Skill Assessment Unit offers an opportunity for you to select and prepare work that demonstrates your key skills in the area of problem solving.

This unit provides you with advice and information on how to go about presenting your key skills work as a portfolio.

In presenting work that demonstrates your key skills you are taking the initiative to show that you can develop and improve a particular set of skills, and are able to use your skills more generally in your studi
Author(s): No creator set

Recession as a marketing opportunity
According to Nirmalya Kumar, Professor of Marketing, recessions can be an excellent time for companies with strong market position to increase their market share as maintaining advertising budgets can give them a disproportionate share of voice
Author(s): No creator set

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## Study another free course

There are more thanÂ 800 coursesÂ on OpenLearnÂ for you to c
Author(s): The Open University