Qualitative Spatial Change

This book is a contribution to the emerging discipline of Qualitative Spatial Information Theory. This theory will cover time, space, objects in space, their spatial attributes, changes in those attributes, and the temporal structure of those changes. Each of these topics is covered separately in this book, and a theory of qualitative spaces as partitions of quantitative spaces is developed in detail and applied to numerous particular cases.

Introduction

1

(34)

Who cares about spatial change?

1

(2)

The plan of this book

3

(1)

The nature of qualitative representations

4

(14)

Phase spaces and mode spaces

18

(5)

Idealization

23

(6)

Granularity

29

(5)

Space

34

(69)

Places and spaces

34

(1)

Axiomatic geometry

35

(9)

Point-set topology

44

(14)

Topology without points

58

(12)

Mereotopology

70

(19)

Discrete space

89

(13)

Summary

102

(1)

Objects

103

(40)

Matter and material objects

103

(7)

Formalizing the ontology of material objects

110

(6)

Parasitic objects

116

(3)

Perspectival objects

119

(2)

Natural and conventional objects

121

(8)

Objects with indeterminate boundaries

129

(3)

Alternative bases for classifying objects

132

(9)

Summary

141

(2)

Spatial Attributes and Relations

143

(62)

Dimension

144

(2)

Connectivity

146

(10)

Position

156

(1)

Location

157

(17)

Orientation

174

(2)

Size

176

(3)

Shape

179

(22)

Posture

201

(1)

Spatial attributes that are not purely geometrical

202

(2)

Summary

204

(1)

Time and Change

205

(64)

Absolute and relational theories of time

205

(2)

States, processes, and events

207

(8)

Time itself: an absolute temporal framework

215

(36)

Fluents and events

251

(17)

Summary

268

(1)

Varieties of Spatial Change

269

(36)

Change in dimension

269

(1)

Change in connectivity

270

(10)

Change in location

280

(13)

Change in orientation

293

(2)

Change in size

295

(1)

Change in shape

296

(5)

Change in posture

301

(1)

Change in non-geometrical spatial attributes

302

(1)

Summary

303

(2)

Continuity

305

(36)

Varieties of continuity

305

(4)

Measuring the separation between two regions

309

(9)

Comparison of the separation measures

318

(5)

Different kinds of continuous change

323

(3)

Continuity and fusion

326

(5)

Case studies of continuous spatial change

331

(9)

Summary

340

(1)

Qualitative Continuity

341

(39)

Phase spaces revisited

342

(2)

Conceptual neighbourhood as a relation on mode space

344

(1)

The topological approach to continuity

345

(5)

A theory of topological mode spaces

350

(6)

Constructing new TM spaces from old

356

(13)

Further applications of the TM space theorems

369

(10)

Summary

379

(1)

Bibliography

380

(14)

Index of Special Symbols

394

(2)

Index

396

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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Qualitative Spatial Change

Summary

Table of Contents

Supplemental Materials

FREE SHIPPING

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5% off 1 book, 7% off 2 books, 10% off 3+ books

Qualitative Spatial Change

Summary

Table of Contents

Supplemental Materials

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