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11 - Gromov–Hausdorff convergence and Poincaré inequalities
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Notation index
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13 - An introduction to Cheeger's differentiation theory
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Contents
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14 - Examples, applications, and further research directions
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3 - Lebesgue theory of Banach space-valued functions
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6 - Upper gradients
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4 - Lipschitz functions and embeddings
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Frontmatter
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Dedication
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5 - Path integrals and modulus
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7 - Sobolev spaces
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8 - Poincaré inequalities
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2 - Review of basic functional analysis
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12 - Self-improvement of Poincaré inequalities
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10 - Other definitions of Sobolev-type spaces
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9 - Consequences of Poincaré inequalities
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Subject index
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References
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![](https://assets.cambridge.org/97811074/65343/cover/9781107465343.jpg)
Sobolev Spaces on Metric Measure Spaces
- An Approach Based on Upper Gradients
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