# Tagged Questions

Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

**3**

**0**answers

### On filters possessing a countable network

**-1**

**0**answers

### Approximation by regular sets

**1**

**1**answer

### Complexity of set of fibers on which a set is relatively clopen

**1**

**1**answer

### Quantity of partition sets intersecting a compact set

**1**

**4**answers

### Is a separable compact Hausdorff space already metrizable?

**2**

**0**answers

### Is each metric continuum $\ell_p$-chain connected?

**4**

**1**answer

### For any $n \in \Bbb N$ , does there exist $A \subset \Bbb R$ such that $A^1,A^2,\ldots,A^{n-1}$ are non-empty and $A^n = \emptyset$?

**6**

**1**answer

### Are $\varepsilon$-connected components dense?

**9**

**1**answer

### Is every metric continuum almost path-connected?

**0**

**0**answers

### A finiteness property of profinite sets

**8**

**0**answers

### Characterizing compact Hausdorff spaces whose all subsets are Borel

**6**

**1**answer

### Interpreting a space in Baire space: how many facts do I need to understand the whole thing?

**8**

**0**answers

### Universally meager spaces and large cardinals

**1**

**0**answers

### Determine all possible magnetic monopole of gauge theories

**7**

**1**answer

### homeomorphisms induced by composant rotations in the solenoid

**9**

**1**answer

### When can I “draw” a topology in Baire space?

**7**

**1**answer

### Space filling curve whose all level sets are finite (countable)

**2**

**1**answer

### Topologically Ordered Families of Disjoint Cantor Sets in $I$?

**27**

**1**answer

### Running most of the time in a connected set

**4**

**1**answer

### Exponential law w.r.t. compact-open topology

**15**

**1**answer

### Can an injective $f: \Bbb{R}^m \to \Bbb{R}^n$ have a closed graph for $m>n$?

**8**

**2**answers

### Is it possible to continuously select a probability distribution over fixed points in Brouwer's fixed point theorem?

**2**

**0**answers

### When does $S \cap GL_4(\mathbb R)$ have precisely two connected components where $S \subset M_4(\mathbb R)$ is a linear subspace?

**12**

**3**answers

### Can the real line be embedded in a space $X$ such that all the nonempty open subsets of $X$ are homeomorphic?

**5**

**1**answer

### “König's theorem” for $T_2$-spaces?

**0**

**0**answers

### Is there a standard definition for this topology setup?

**3**

**0**answers

### Identification of ultrafilters with measures

**2**

**1**answer

### Path Metric Topology

**1**

**1**answer

### Maxed-out Hausdorff metric

**3**

**1**answer

### Connected spaces where every dense set is large

**-2**

**0**answers

### Some questions aboute a generalization of connectedness

**12**

**1**answer

### Obstruction of spin-c structure and the generalized Wu manifods

**9**

**1**answer

### Is every complete Boolean algebra isomorphic to the quotient of a powerset algebra?

**5**

**2**answers

### Any 3-manifold can be realized as the boundary of a 4-manifold

**11**

**1**answer

### If $G$ is a paracompact topological group, then is $G \times G$ paracompact?

**9**

**1**answer

### On the Large Cardinal Strength of Normal Moore Space Conjecture

**6**

**1**answer

### Reference request: A collection of topologies on $\mathbb{N}$ formed via series

**3**

**2**answers

### What is the dimension of a subspace of the product of $n$ linearly ordered compacta

**11**

**0**answers

### A connected Borel subgroup of the plane

**0**

**1**answer

### When every open cover admits a $\sigma$-disjoint subcover?

**4**

**1**answer

### Order convergence vs topological convergence in partially ordered sets

**4**

**2**answers

### A reasonable topology on the group of minimal usco maps

**14**

**1**answer

### Homotopy pullback of a homotopy pushout is a homotopy pushout

**1**

**1**answer

### Gluing locally defined continous functions over complex domain

**1**

**1**answer

### Question on K.Gobel's paper 1969

**7**

**1**answer

### Question about taking the Zariski closure in $\mathbb{A}_{\mathbb{R}}^n$

**2**

**0**answers

### (When) is the Dedekind-MacNeille completion of a po-set Hausdorff?

**1**

**0**answers

### Is there any characterization for lifting clopen subsets

**1**

**1**answer

### Borel $\sigma$-algebra on the space of Hölder continuous functions

**4**

**1**answer