New posts in algebraic-topology

Proving homotopy equivalence of a torus with points removed

algebraic-topology homotopy-theory

Is homotopy group of infinite product of spaces a direct sum or a direct product of groups?

abstract-algebra algebraic-topology category-theory direct-sum direct-product

Poincare dual of unit circle

algebraic-topology differential-topology differential-forms

Fundamental group of the n-holed torus

general-topology algebraic-topology fundamental-groups

What does this map $\mathbb{R}P^\infty\to\mathbb{C}P^\infty$ induce on cohomology?

algebraic-topology homology-cohomology projective-space

Fundamental group of Klein Bottle

abstract-algebra group-theory algebraic-topology fundamental-groups klein-bottle

Computation of the fundamental group of the projective plane without Van Kampen theorem.

algebraic-topology fundamental-groups

Is every oriented simplicial complex a $\Delta$-complex?

algebraic-topology simplex simplicial-complex

Homology of some quotient of $S^2$

algebraic-topology

Euler characteristic fiber bundle

general-topology algebraic-topology

Ideas for a present to my topology teacher

algebraic-topology soft-question

Example of a real orientable $2n$-plane bundle without complex structure via non-trivial odd Stiefel-Whitney class

algebraic-topology vector-bundles characteristic-classes

Natural equivalence between singular and simplicial homology

algebraic-topology homology-cohomology simplicial-complex

What is the surface by identifying antipodal points of a 2-torus embedded in $\mathbb{R}^3$?

differential-geometry algebraic-topology differential-topology

Definition of the cotensor in sSet

algebraic-topology category-theory functors hom-functor

First homology of a compact connected surface with boundary

algebraic-topology

Topology of a cone of $\mathbb R\mathbb P^2$.

algebraic-topology

Double-cover of a Klein-bottle-esque Space

general-topology algebraic-topology klein-bottle

Two Homotopy Colimit Questions

algebraic-topology homotopy-theory

$\text{Ext}(H, \mathbb{Z})$ is isomorphic to the torsion subgroup of $H$ if $H$ is finitely generated

algebraic-topology homological-algebra