Diane Vanderwaif

Member for 10 years, 8 months
Last seen more than 8 years ago

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differential-topology

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Questions

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Score Activity Newest Views

22

Prove that the min and max of 2 continuous function are continuous

Oct 17, 2013

10

closed and open set - set $S$ is open if and only if its complement is closed?

Apr 23, 2013

9

Prove that if a function $f$ has a jump at an interior point of the interval $[a,b]$ then it cannot be the derivative of any function.

Nov 12, 2013

9

Use the divergent theorem to verify the volume of a circular cone

May 16, 2014

8

If $σ^2$ is the identity map from $G$ to $G$, prove that $G$ is abelian.

Jan 23, 2014

Answers

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3

Prove that any map $f\colon S^1 \to S^1$ mapping antipodal point to antipodal point has $\deg_2(f)=1$ by a direct computation.

Nov 24, 2014

2

Prove that if $u$ and $v$ do not lie on a common cycle then $od(u)≠od(v)$

Nov 9, 2014

1

Prove that if $G$ is an nontrivial connected graph with at most 2 bridges, then there exists an orientation $D$

Nov 5, 2014

1

Prove that $f$ map a neighborhood of $Z$ diffeomorphically on to a neighborhood of $f(Z)$( more detail)

Nov 24, 2014

0

Prove or disprove: if $G$ is a graph such that $\chi(G) \leq \chi(S_k)$ then $G$ is embedded in $S_k$

Mar 20, 2015

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differential-topology

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23

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graph-theory

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110

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calculus

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89

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proof-writing

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45

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complex-analysis

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29

posts

Reputation

+10

If $σ^2$ is the identity map from $G$ to $G$, prove that $G$ is abelian.

+10

a graph $G$ of order $n \geq 2k$ is $k$ connected iff there exist $k$ pairwise disjoint paths connecting $V_1$ and $V_2$

+10

Use the divergent theorem to verify the volume of a circular cone

+10

Find an example of a compact space which is not locally compact.

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