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Part of the book series: Springer Theses ((Springer Theses))

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Abstract

The relevance of this chapter comes from the fact that it encompasses several very interesting mathematical concepts. Its main goal is to explain the ideas behind homological algebra. In some sense homological algebra represents the analogue of writing algebraic equations for homology groups.

Mad Hatter: ‘Why is a raven like a writing-desk?’,

‘Have you guessed the riddle yet?’ the Hatter said, turning to Alice again.

‘No, I give it up’, Alice replied: ‘What’s the answer?’

‘I haven’t the slightest idea’, said the Hatter.

Lewis Carroll, Alice in Wonderland

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Correspondence to Andrei-Tudor Patrascu .

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Patrascu, AT. (2017). Homological Algebra. In: The Universal Coefficient Theorem and Quantum Field Theory. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-46143-4_4

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