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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

Joram Lindenstrauss, David Preiss, and Jaroslav Tier

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153551
eISBN:
9781400842698
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153551.001.0001
Subject:
Mathematics, Analysis

This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the ... More


Conclusion

Mark Blacklock

in The Emergence of the Fourth Dimension: Higher Spatial Thinking in the Fin de Siècle

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198755487
eISBN:
9780191816680
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198755487.003.0008
Subject:
Literature, 19th-century and Victorian Literature, 20th-century Literature and Modernism

The conclusion argues that higher space has always been described as analogous to the imagination itself, referencing arguments made by William Spottiswoode. It summarizes the cultural history of ... More


The Emergence of the Fourth Dimension: Higher Spatial Thinking in the Fin de Siècle

Mark Blacklock

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198755487
eISBN:
9780191816680
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198755487.001.0001
Subject:
Literature, 19th-century and Victorian Literature, 20th-century Literature and Modernism

The idea of the fourth dimension of space has been of sustained interest to nineteenth-century and Modernist studies since the publication of Linda Dalrymple Henderson’s The Fourth Dimension and ... More


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