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Homotopy theory is an important sub-field of algebraic topology. It is mainly concerned with the properties and structures of spaces which are invariant under homotopy. Chief among these are the homotopy groups of spaces, specifically those of spheres. Homotopy theory includes a broad set of ideas and techniques, such as cohomology theories, spectra and stable homotopy theory, model categories, spectral sequences, and classifying spaces.

1 vote
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questions on steenrod algebra

I plan to give a talk on Steenrod algebra in a student seminar. but there are some questions that I didn't find an answer to, and it seems to me that I'm missing something: if the algebra of cohomol …
Yitzhak Z's user avatar
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4 votes
1 answer
171 views

Relative category structure on (Set valued) presheaves

Suppose $(\mathcal{C},\mathcal{W})$ is a relative category (we can assume $\mathcal{C}$ is small for the matter). Is there any work which deal with constructing a relative category structure on $\math …
Yitzhak Z's user avatar
  • 311