New posts in algebraic-topology

On continuity of roots of a polynomial depending on a real parameter

real-analysis complex-analysis algebraic-topology continuity

What is the definition of contractible space? (It is not a duplicate)

algebraic-topology definition

Is a compact, simply-connected 3-manifold necessarily $S^3$ with $B^3$'s removed?

algebraic-topology proof-verification manifolds differential-topology

Is every topological group the topological fundamental group of an space?

general-topology algebraic-topology topological-groups

Topologically, what is a 'string' from string theory?

general-topology algebraic-topology mathematical-physics knot-theory string-theory

Homology of a co-h-space manifold

algebraic-topology manifolds homology-cohomology

De Rham cohomology of $\mathbb{RP}^{n}$

algebraic-topology manifolds

Help with Serre spectral sequences

algebraic-topology

Some Good Algebraic Topology Exercises

algebraic-topology

Wedge product $S^1 \vee S^2$

algebraic-topology

Question about mapping cones in homology theory

algebraic-topology homology-cohomology homological-algebra

Computing the homology of genus $g$ surface, using Mayer-Vietoris

algebraic-topology homology-cohomology homological-algebra

Seifert matrices and Arf invariant -- Cinquefoil knot

algebraic-topology manifolds knot-theory

Isomorphism in cohomology is an isomorphism in homology

algebraic-topology homological-algebra homology-cohomology

Is a space with no nontrival vector bundles contractible?

algebraic-topology vector-bundles

Manifold without point homotopy equivalent to wedge of $2$-spheres.

general-topology algebraic-topology manifolds homology-cohomology homotopy-theory

Hopf's 1935 paper "About maps from spheres to spheres of lower dimension"

reference-request algebraic-topology

Number of directional orders for $n$ points in $\mathbb{R}^d$?

sequences-and-series combinatorics geometry algebraic-topology order-theory

Does the orientation bundle not depend on the choice of cover?

differential-geometry algebraic-topology smooth-manifolds

Perverse sheaves (or D-modules) on vector spaces, constructible with respect to a hyperplane arrangement

algebraic-topology d-modules