Glossary of algebraic topology

• Convention: Throughout the article, I denotes the unit interval, Sⁿ the n-sphere and Dⁿ the n-disk. Also, throughout the article, spaces are assumed to be reasonable; this can be taken to mean for example, a space is a CW complex or compactly generated weakly Hausdorff space. Similarly, no attempt is made to be definitive about the definition of a spectrum. A simplicial set is not thought of as a space; i.e., we generally distinguish between simplicial sets and their geometric realizations.
• Inclusion criterion: As there is no glossary of homological algebra in Wikipedia right now, this glossary also includes some few concepts in homological algebra ; some concepts in geometric topology are also fair game. On the other hand, the items that appear in glossary of topology are generally omitted. Abstract homotopy theory and motivic homotopy theory are also outside the scope. Glossary of category theory covers concepts in theory of model categories.

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