Newbetuts

Is there any continuous surjective map from $\mathbb{R}^3$ to $\mathbb{R}^3$ s.t. for every $x$ in $\mathbb{R}^3$ $f(x) \cdot x= 0$?

Topology on the space of paths

$X$ and $Y$ are homotopy equivalent $\Leftrightarrow$ $\exists Z:$ $X,Y$ are strong deformation retracts of $Z$

Twisted Cech cohomology

Is there anything "nice" about the set of normal matrices (over $\Bbb R$ and $\Bbb C$?)

Is a maximal open simply connected subset $U$ of a manifold $M$, necessarily dense?

${\Bbb Z}/3{\Bbb Z}$-torsors over $S^1$.

The $n$-disk $D^n$ quotiented by its boundary $S^{n-1}$ gives $S^n$

Does there exist a compact submanifold of $\mathbb{R}^3$ whose fundamental group is $\mathbb{Z}^3$?

Showing that every finitely presented group has a $4$-manifold with it as its fundamental group

Singular homology with coefficients in a ring versus in an abelian group

Deck transformations of universal cover are isomorphic to the fundamental group - explicitly

Is there a gap in the standard treatment of simplicial homology?

Computing the homology groups of the twice-punctured disk

New posts in algebraic-topology

Is there a "geometric" interpretation of inert primes?

Homology of surface of genus $g$

when does a functor map products into products?

deformation retract of $GL_n^{+}(\mathbb{R})$

The fundamental group of a topological group is abelian [duplicate]

Chain homotopy inverse to inclusion

Is there any continuous surjective map from $\mathbb{R}^3$ to $\mathbb{R}^3$ s.t. for every $x$ in $\mathbb{R}^3$ $f(x) \cdot x= 0$?

Topology on the space of paths

$X$ and $Y$ are homotopy equivalent $\Leftrightarrow$ $\exists Z:$ $X,Y$ are strong deformation retracts of $Z$

Twisted Cech cohomology

Is there anything "nice" about the set of normal matrices (over $\Bbb R$ and $\Bbb C$?)

Is a maximal open simply connected subset $U$ of a manifold $M$, necessarily dense?

${\Bbb Z}/3{\Bbb Z}$-torsors over $S^1$.

The $n$-disk $D^n$ quotiented by its boundary $S^{n-1}$ gives $S^n$

Does there exist a compact submanifold of $\mathbb{R}^3$ whose fundamental group is $\mathbb{Z}^3$?

Showing that every finitely presented group has a $4$-manifold with it as its fundamental group

Singular homology with coefficients in a ring versus in an abelian group

Deck transformations of universal cover are isomorphic to the fundamental group - explicitly

Is there a gap in the standard treatment of simplicial homology?

Computing the homology groups of the twice-punctured disk