general topology : Math Help

homology groups of the quotient of $\mathbb{S}^2$ obtained by identifying north and south poles to a point

algebraic-topology homology-cohomology homotopy-theory
Updated July 21, 2019 03:20 AM

Question about basis of a topology

general-topology self-learning
Updated July 21, 2019 03:20 AM

Is this the correct definition of local diffeomorphism/homeomorphism onto image?

general-topology differential-geometry manifolds smooth-manifolds diffeomorphism
Updated July 21, 2019 03:20 AM

Does Alexander's horned sphere bound a ball?

algebraic-topology manifolds geometric-topology low-dimensional-topology
Updated July 20, 2019 20:20 PM

Is closed subgroup determined by neighborhood basis?

general-topology topological-groups
Updated July 20, 2019 20:20 PM

Homotopy equivalence and universal $G$-bundle

algebraic-topology fiber-bundles principal-bundles
Updated July 20, 2019 19:20 PM

is zero operator a compact operator?

general-topology functional-analysis
Updated July 20, 2019 19:20 PM

Proof verification: $[0,1]^\omega$ in the uniform topology is not limit point compact.

general-topology proof-verification
Updated July 20, 2019 17:20 PM

Weak limit of continuous operator

operator-theory operator-algebras weak-convergence von-neumann-algebras weak-topology
Updated July 20, 2019 17:20 PM

Every Cover of a Compact Real Interval by Open Intervals Has a Finite Subcover where only Consecutive Sets Overlap?

real-analysis general-topology proof-verification
Updated July 20, 2019 16:20 PM

Automating proofs of the fact that $S \subset \mathbb C$ is open when topological continuity is unavailable

general-topology complex-analysis
Updated July 20, 2019 15:20 PM

Submersions from $\Bbb T^2$ to $\Bbb S^1$.

differential-geometry differential-topology fiber-bundles
Updated July 20, 2019 14:20 PM

Show that the vector $~\beta d~$ also a feasible direction at $~x~$.

optimization algebraic-topology nonlinear-optimization optimal-control
Updated July 20, 2019 13:20 PM

For manifolds of the same dimension, are submersions equivalent to immersions?

general-topology geometry differential-geometry continuity manifolds
Updated July 20, 2019 10:20 AM

Viewing invariance of domain as a converse of invariance of dimension

general-topology differential-geometry manifolds smooth-manifolds invariance
Updated July 20, 2019 10:20 AM

Open subset in Irreducible Topological Space is dense.

general-topology algebraic-geometry
Updated July 20, 2019 10:20 AM

Does homeomorphism of smooth manifolds imply the same dimension?

general-topology geometry differential-geometry continuity manifolds
Updated July 20, 2019 09:20 AM

Relations between different types of compactness

general-topology compactness
Updated July 20, 2019 06:20 AM

Proof that map is closed(in Zariski topology)

general-topology algebraic-geometry
Updated July 20, 2019 05:20 AM

Why is $A$ said to bound a subsurface of $X$ but $B$ doesn't? (picture inside!)

proof-verification algebraic-topology soft-question
Updated July 20, 2019 05:20 AM

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