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Alice is about to pick daisies when a white rabbit approaches her, but this rabbit is not like any other rabbit she has seen. Her curious nature forces her to follow the rabbit for a wonderful adventure.

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Algebraic Topology : A Computational Approach

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Mathematics document containing theorems and formulas.

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Algebraic Topology

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Mathematics document containing theorems and formulas.

Excerpt: Copying and reprinting. Individual readers of this publication. and nonprofit libraries acting for them. are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication. systematic copying, or multiple reproduction of any material in this publication (including abstr...

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Topological Entropy Iii: Yuzvinskii's Formula

Mathematics document containing theorems and formulas.

Excerpt: At the end of the last chapter we arrived at a formula for the entropy of atoral endomorphism, by first finding the entropy of a linear transformation of Rn. We now extend this calculation to linear maps of finite{dimensional vector spaces over local fields. Products of such vector spaces cover certain compact abelian groups called solenoids, and we will use this fact to arrive at a formula for the entropy of automorphisms of solenoids.

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The Problem of Knowledge

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