List questions from algebraic-topology

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Singular cohomology of a limit of topological spaces

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Show the space of flat connections $(\mathbb T^2)^N / {\mathfrak S}_N$ is a $(N-1)$-complex projective space

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A loop $\alpha: I \rightarrow X$ is nulhomotopic $\iff$ $\alpha$ extends to a map $\alpha': D^2 \rightarrow X$

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165

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Is $M \oplus e^1 = e^2$ , i.e. trivial?

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Classifying the spaces that Eilenberg-Steenrod axioms determine the cohomology of

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Game theory formula explanation

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Exercise 1.5.1 in Guillemin and Pollack

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Algebraic Topology vs Differential Topology

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When is a scheme topologically simply connected?

Published on 25 Oct 2018 - 4:03

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Can a closed surface of genus $\geq$ 2 be embedded in a product of graphs?

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Homeomorphism between $S^n _+ \land S^1 $ (smash product) and the space obtained by identifying the north and the south poles of $S^{n+1}$

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657

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In/surjective maps induce mono/epimorphisms in homology?

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438

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When is the exponential law in topology discontinuous?

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34

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SIngular complex $C_n(X)$ where $X$ is a CW-complex with cells of dimension less than n

Published on 25 Oct 2018 - 18:45

List Question

Exercise 1.5.5 in Guillemin and Pollack.

Singular cohomology of a limit of topological spaces

Show the space of flat connections $(\mathbb T^2)^N / {\mathfrak S}_N$ is a $(N-1)$-complex projective space

A loop $\alpha: I \rightarrow X$ is nulhomotopic $\iff$ $\alpha$ extends to a map $\alpha': D^2 \rightarrow X$

Is $M \oplus e^1 = e^2$ , i.e. trivial?

Classifying the spaces that Eilenberg-Steenrod axioms determine the cohomology of

Game theory formula explanation

Exercise 1.5.1 in Guillemin and Pollack

Algebraic Topology vs Differential Topology

When is a scheme topologically simply connected?

Can a closed surface of genus $\geq$ 2 be embedded in a product of graphs?

Homeomorphism between $S^n _+ \land S^1 $ (smash product) and the space obtained by identifying the north and the south poles of $S^{n+1}$

In/surjective maps induce mono/epimorphisms in homology?

When is the exponential law in topology discontinuous?

SIngular complex $C_n(X)$ where $X$ is a CW-complex with cells of dimension less than n

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