# Questions tagged [manifolds]

A manifold is a topological space that locally resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n.

**3**

**1**answer

### Invariance of morse homology, doubt in proof in book “Morse Theory and Floer homology”

**2**

**0**answers

### What locales correspond to Manifolds?

**8**

**2**answers

### Degree one self-map of $\Bbb R^2\big\backslash \big\{(n,0):n\in \Bbb Z\big\}$ not homotopic to any self-homotopy equivalence

**2**

**0**answers

### Theory of mollifiers on the boundary of a $C^2$ domain

**2**

**1**answer

### Collar neighborhood theorem for manifold with corners

**3**

**1**answer

### $H^1(X, GL(n, \mathcal{O}_X))$ and Vector Bundles

**3**

**1**answer

### Closed manifolds are not absolute retracts?

**1**

**0**answers

### Codimension one submanifold gives cofibrant pair

**6**

**0**answers

### If $X_d$ is a non-triangulable manifold, can $X_d \times T^k$, $X_d \times I^k$, or $X_d \times \mathbb{R}^k$ be a triangulable manifold?

**23**

**1**answer

### On a curious map from the complex projective plane into $S^5$

**6**

**1**answer

### Characteristic class that cannot be represented by disjoint tori

**2**

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### Is $U(n)$ a Kahler manifold?

**6**

**0**answers

### How much differs the category of real-analytic manifolds from $C^\infty$ ones?

**11**

**0**answers

### Structures between PL and smooth

**0**

**0**answers

### Probability density on Riemannian manifold

**5**

**1**answer

### What are some “good” examples of Kan simplicial manifolds?

**1**

**0**answers

### Einstein submanifold of Einstein manifold - References

**10**

**1**answer

### Existence of normal microbundles

**0**

**0**answers

### On the dimension of the projected rank $r$ matrix space

**17**

**1**answer

### The group of isometries of a manifold is a Lie group, isn't it?

**8**

**1**answer

### Are all monotonically normal manifolds of dimension at least two metrizable?

**9**

**1**answer

### A piecewise-linear or topological Fulton-MacPherson compactification

**8**

**0**answers

### Is there a combinatorial representation of general topological manifolds similar to triangulations?

**0**

**0**answers

### Intersection of zero sets of continuous functions

**0**

**0**answers

### Derivative $\left.\frac{\rm d}{{\rm d}t}\nu_{\partial T_t(\partial M)}\right|_{t=0}$ of outer normal field on a transformed boundary $T_t(\partial M)$

**3**

**2**answers

### minimal embedding space of a manifold in smooth and PL case

**2**

**1**answer

### Quotient space by discrete group and $L^2(\Gamma\backslash \mathcal{H})$

**0**

**0**answers

### How can we calculate this tangential differential?

**0**

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### What is the physical meaning of torsion

**0**

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### Problem of Thickening an Arc in a Topological $ 2 $-Manifold

**2**

**0**answers

### On isospectral planar domains (and a paper by Buser, Conway, Doyle and Semmler)

**3**

**1**answer

### The $\operatorname{spin}^c$ index for manifolds

**1**

**1**answer

### Number of connected components of the set of invertible matrices over the reals when some of the matrix entries are fixed

**9**

**1**answer

### Is every open topological $d$-manifold homotopy equivalent to a CW-complex of dimension $\leq d-1$?

**2**

**0**answers

### Combinatorial condition for orientability on simplicial complexes

**13**

**1**answer

### Is there an orientable prime manifold covered by a non-prime manifold?

**6**

**1**answer

### Subdivision of closed homology manifold reference request

**5**

**1**answer

### To what extent is a vector bundle on a manifold with boundary determined by its restriction to the interior?

**-1**

**1**answer

### Topological connected eccentrics, not homeomorphic to commutative Lie groups

**3**

**1**answer

### Tangent bundle with Sasaki metric is Kähler iff $M$ is locally flat

**1**

**1**answer

### Homology of topological manifolds

**0**

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### prove a bondle is an indefinite Hermitian manifold which is Kahler if and only if the manifold is locally flat

**3**

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### References on integration on non-compact manifolds

**2**

**0**answers

### Calculate the Jacobian of a particular diffeomorphism of parallelizable manifold onto itself

**8**

**1**answer

### Generators and relations for the 2-dimensional unoriented cobordism category

**7**

**1**answer

### An orientable surface that cannot be embedded into $\Bbb R^3$? [duplicate]

**6**

**0**answers

### Signature of a non-compact manifold

**0**

**2**answers

### Is this $a(p)=\lim_{r\to \infty} \frac{VolS(p,r)}{e^{h r}}$ exists and applied for manifolds with positive curvature?

**7**

**1**answer

### Map which is null-homotopic on compacts

**10**

**2**answers