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Answers
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12
Compact open topology
4
Learning roadmap for geometric topology
4
Algebraic Topology Beyond the Basics:Any Texts Bridging The Gap?
0
Occurrences of (co)homology in other disciplines and/or nature
1
What are some examples of “chimeras” in mathematics?
3
Mayer-Vietoris implies Excision
10
Modern Source for Spectra (including Ring Spectra)
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Good introductory references on algebraic stacks?
12
Do we still need model categories?
8
What is the topology on hom-sets of spectra?
4
manifold with given rational homology
4
Proof that the homotopy category of a stable $\infty$-category is triangulated
11
New proofs to major theorems leading to new insights and results?
18
Mathematical “urban legends”
4
Applications of Brouwer’s fixed point theorem
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Theorems that are ‘obvious’ but hard to prove
37
Most intricate and most beautiful structures in mathematics
12
`Naturally occuring' $K(\pi, n)$ spaces, for $n \geq 2$.
10
Vanishing of higher homotopy groups of finite complexes
8
Homology is computable because it is stable under suspension
24
What are Jacob Lurie’s key insights?
2
Algebraic geometry used “externally” (in problems without obvious algebraic structure).
4
What do mathematicians currently do in conformal field theory (or more general field theory)
12
Closed 3-manifolds with free abelian fundamental groups
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What books should I read before beginning Masaki Kashiwara’s “Sheaves on Manifolds”
4
A Learning Roadmap request: From high-school to mid-undergraduate studies
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Can anyone give me a good example of two interestingly different ordinary cohomology theories?
67
Examples of common false beliefs in mathematics.
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Historical transition from classical homotopy to modern homotopy theory…
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What is known about K-theory and K-homology groups of (free) loop spaces?
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