David Toth

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cs student

	530 reputation	bio	website	tothchat.com	visits	member for	1 year
16 badges		location			seen	4 hours ago

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1d	comment	Compute the homology of the CW complex directly from the cell structure For reference a similar topic of the question is covered in Hatcher, 4.C Minimal Cell Structures.
2d	awarded	Yearling
May 19	accepted	Torus interior homeomorphic to torus exterior
May 19	comment	Torus interior homeomorphic to torus exterior @MarianoSuárez-Alvarez Thank you, I think you can add it as an answer.
May 19	comment	Torus interior homeomorphic to torus exterior Is the exterior of $S^2 \subset \mathbb{R^3}$ missing also a point as compared to the interior of $S^2$?
May 19	asked	Torus interior homeomorphic to torus exterior
May 18	accepted	What do elements of the first homology group mean topologically?
May 11	comment	Homology of $\mathbb{R}^2$ under the equivalence $x \sim 2x$ $X$ is path connected. I guess by trivial in the homology context we mean $H_0(X)=\mathbb{Z}$ and $H_i(X)=0$ for $i>0$.
May 8	accepted	Let $A$ be a set, $R$ an empty relation on $A$, what is $A/R$?
May 8	comment	Let $A$ be a set, $R$ an empty relation on $A$, what is $A/R$? Thank you. I think these comments contain the answer.
May 8	comment	Let $A$ be a set, $R$ an empty relation on $A$, what is $A/R$? So standard definition of quotienting a set by a relation is defined only for equivalence relations? Is that right?
May 8	asked	Let $A$ be a set, $R$ an empty relation on $A$, what is $A/R$?
May 7	accepted	Is $r:S^1 \to \{x_0\}$ a retraction?
May 7	comment	Is $r:S^1 \to \{x_0\}$ a retraction? Thanks, how come I did not notice this?
May 7	asked	Is $r:S^1 \to \{x_0\}$ a retraction?
May 3	revised	$\pi_1(X)$ finite, show $f:X \to S^1$ is nullhomotopic added 41 characters in body
May 3	asked	$\pi_1(X)$ finite, show $f:X \to S^1$ is nullhomotopic
May 2	accepted	Are there $CW$-complexes not homeomorphic to $\mathbb{R}P^2$ but homotopy equivalent to $\mathbb{R}P^2$ with at most $5$ cells?
May 2	asked	Are there $CW$-complexes not homeomorphic to $\mathbb{R}P^2$ but homotopy equivalent to $\mathbb{R}P^2$ with at most $5$ cells?
Apr 30	comment	Does every continuous map induce a homomorphism on fundamental groups? Actually, the reason why the "square root function" does not induce a homomorphism is that it is not well-defined on $S^1$, so we cannot even talk of it as of a function, being continuous or discontinuous.