From a geometrical point of view : a study of the history and philosophy of category theory

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From a geometrical point of view : a study of the history and philosophy of category theory / by Jean-Pierre Marquis

資料種別:: 図書
出版情報:: [Dordrecht] : Springer, c2009
形態:: x, 309 p. ; 25 cm
シリーズ名:: Logic, epistemology, and the unity of science / editors, Shahid Rahman, John Symons ; v. 14 <BA70807900>
著者名:: Marquis, Jean-Pierre
ISBN:: 9781402093838 [1402093837]
書誌ID:: BA90177474

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注記:

Includes bibliographical references (p. 291-301) and index

主題:

Categories (Mathematics)--History; Categories (Mathematics)--Philosophy

言語:

英語

目次情報:

Introduction

Category theory and KleinG++s Erlangen Program / 1：

Introducing categories, functors and natural transformations / 2：

Categories as spaces, functors as transformations / 3：

Discovering fundamental categorical transformations: adjoint functors / 4：

Adjoint functors: what they are, what they mean / 5：

Invariants in foundations: Algebraic logic / 6：

Invariants in foundations: Geometric logic / 7：

Conclusion

References

Index

Introduction

Category theory and KleinG++s Erlangen Program / 1：

Introducing categories, functors and natural transformations / 2：

Categories as spaces, functors as transformations / 3：

Discovering fundamental categorical transformations: adjoint functors / 4：

Adjoint functors: what they are, what they mean / 5：

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