general topology : Math Help

Vector bundle orientable if and only if determinant bundle is (Bott and Tu Prop. 11.4)

differential-geometry differential-topology vector-bundles
Updated October 20, 2019 04:20 AM

If $M,N$ are smooth manifolds with corners, why $M\times N$ is also a manifold with corners? (Lee's Introduction to Smooth Manifolds problem 16.7)

differential-geometry manifolds differential-topology smooth-manifolds manifolds-with-boundary
Updated October 20, 2019 03:20 AM

Is the infinite union of closed sets of the same length still closed?

real-analysis general-topology real-numbers
Updated October 20, 2019 03:20 AM

Does the Fundamental Theorem of Algebra follow from the real Spectral Theorem?

linear-algebra abstract-algebra general-topology
Updated October 20, 2019 01:20 AM

Action of fundamental group on a fiber

algebraic-topology
Updated October 20, 2019 01:20 AM

Functional Analysis Exercise 16 Walter Rudin Chapter 1

general-topology functional-analysis topological-vector-spaces
Updated October 20, 2019 00:20 AM

Every connected topological manifold has a homeomorphism taking $p_i$ to $q_i$ for any $i=1,\dots, k$.

general-topology algebraic-topology manifolds
Updated October 19, 2019 23:20 PM

A topology is coherent with the subspaces if and only if it is the final topology on the inclusion maps

general-topology
Updated October 19, 2019 23:20 PM

Generalization of Tietze Extension Theorem

general-topology
Updated October 19, 2019 18:20 PM

Show $f(x)=\frac{x}{1-|x|}$ is a homeomorphism from (-1,1) to $\mathbb{R}$

real-analysis general-topology functions
Updated October 19, 2019 18:20 PM

Question about the definition of topological entropy (book: Brin & Stuck)

general-topology limits metric-spaces dynamical-systems limsup-and-liminf
Updated October 19, 2019 14:20 PM

TOPOLOGICAL VECTOR SPACES General Theory Question

general-topology functional-analysis topological-vector-spaces
Updated October 19, 2019 10:20 AM

"paths" on graphs as topological paths?

general-topology graph-theory
Updated October 19, 2019 08:20 AM

Are $SO(n)\times Z_2$ and $O(n)$ isomorphic as topological groups?

general-topology group-theory topological-groups
Updated October 19, 2019 08:20 AM

Graphs - Hatcher's Algebraic Topology

general-topology algebraic-geometry algebraic-topology
Updated October 19, 2019 07:20 AM

Prove $A=\{n+\frac{1}{2n}\mid n \in \mathbb{N}\}$ is closed in $\mathbb{R}$

real-analysis general-topology analysis real-numbers
Updated October 19, 2019 07:20 AM

Reeb graph - writing the sets

general-topology
Updated October 19, 2019 05:20 AM

Measure theory based definition of general position

general-topology measure-theory algebraic-geometry polynomials
Updated October 19, 2019 04:20 AM

Diffeomorphic subsets of R

general-topology differential-geometry manifolds
Updated October 19, 2019 01:20 AM

Prove that for every $m>0$ there exists an open covering of $\mathbb{Q}$ consists of countably many open intervals...

calculus general-topology
Updated October 19, 2019 00:20 AM

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