Thomas Belulovich

Providence, RI

math.brown.edu/~thobel

Age: 26

Sep
24
awarded Autobiographer
Sep
24
awarded Autobiographer
Sep
24
awarded Autobiographer
Sep
24
awarded Autobiographer
Sep
24
awarded Autobiographer
Aug
5
awarded Yearling
Aug
5
awarded Yearling
Jul
3
comment Prove that this affine transformation is a translation
I expect $\phi(P)P$ is the affine hull (line through) the distinct points $\phi(P)$ and $P$. This is why $\phi$ has to have no fixed points.
Jun
26
comment Proving any N x M undirected two dimensional grid is bipartite
This works. It's more concise to say that you are coloring based on the parity of $i+j$.
Jun
26
comment Proving any N x M undirected two dimensional grid is bipartite
You didn't color all the vertices -- only ones where one coordinate is even and the other odd. However, the idea is sound -- coloring based on parity will work here.
Jun
26
comment Question from Munkres algebraic topology section 58: retractions
It would probably good for your question to say what $j_*$ is (I assume the map induced on $\pi_1$, but it would be good to specify.)
Jun
10
answered Shortest path between wikipedia articles
Jun
7
awarded Popular Question
May
23
awarded Nice Answer
May
21
answered induced sequence exact
May
16
comment Why is this called the orthogonal projection of $u$ on $W$ if $proj_Wu$ is not orthogonal to $u$?
$w_1$ is called an orthogonal projection of $u$ because $w_1$ differs from $u$ by a vector $w_2 = u-w_1$ that is orthogonal to $W$.
May
16
answered Why is this called the orthogonal projection of $u$ on $W$ if $proj_Wu$ is not orthogonal to $u$?
May
16
answered Nuking the Mosquito — ridiculously complicated ways to achieve very simple results
Mar
25
comment Homotopy equivalences
Hint: denote $G = G_f$ to emphasize the dependence of $G$ on $f$. Suppose $f_1,f_2 : X \to Y$ are homotopic. Can you show $G_{f_1} = G_{f_2}$?
Feb
27
comment Topology with one element
I would read "space with only one element" as the space $X = \{*\}$ with the only topology that it can admit.
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