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2.4 Homeomorphic surfaces

As we stated in Section 1, our aim is to classify surfaces up to homeomorphism. So it is worthwhile spending a little time examining what sorts of transformations of surfaces are homeomorphisms. We shall restrict the description to surfaces in space, as these are easier to deal with, though the result at the end of this subsection applies to all surfaces.

Recall that a homeomorphism between two topological spaces (such as surfaces in space) is a bijection with the property that b
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2.2.3 Surfaces with boundary

Examples of surfaces with boundary are a cylinder and a Möbius band. Other examples are the following:

Surfaces with holes

We can obtain a surface with boundary by taking any surface without boundary and punching some holes in it by removing open discs. For example, Figure 19 shows a sphere with 3
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Pratiques innovantes en enseignement - apprentissage, l'exemple d'Innovalangues (Vidéo)

Monica Masperi

Maître de Conférences (Université Grenoble Alpes)

Pratiques innovantes en enseignement - apprentissage, l'exemple d'Innovalangues


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Studying mammals: Plant predators
From the mouse-deer to the elephant, plant eaters come in all shapes and sizes. But how do they manage to flourish on a salad diet? In this free course, Studying mammals: Plant predators, we will examine the special features that allow them to extract their nutrients from leaves, and see how some plants protect themselves from these predators. This is the fourth course in the Studying mammals series.Author(s): Creator not set

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Introduction

This course will allow you to extend your visual modelling skills through the use of the sign graph diagramming technique. You will explore the dynamic relationship between social, economic and ecological factors whose interdependencies will determine the complex dynamics of the future as it unfolds. Your final task will be to identify points of intervention within this complex system in order to "nudge" the situation towards a more favourable outcome.

This OpenLearn course provides a s
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Copyright © 2016 The Open University

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The idea of ‘family’ is very powerful in contemporary UK culture and policy. Family lives have been the subject of many anxieties both at the personal and policy levels. How do public debates relate to people’s everyday experiences of families? In this unit, you can explore the many attempts at defining ‘family’ and why these complex and contradictory meanings are important to us. We begin to unpick questions of power and inequality, to test our everyday assumptions about families, and
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CO 1069-392-111

The National Archives UK posted a photo:

CO 1069-392-111

Location: Trinidad and Tobago




Date: 1870-1939




Our Catalogue Reference:
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