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Path connectedness of the set $\{(x,y):(x+1)^{2}+y^{2}\leq 1\}\cup\{(x,y):y=x\sin(\frac{1}{x}),x>0\}$
general-topology
connectedness
Path Connectedness and continuous bijections
general-topology
continuity
connectedness
abstract-algebra
Properties of space $X = T \cup \bigcup_{n=1}^{\infty} S_n \cup \{ (0,q) : q \in \mathbb Q \wedge q \in [0,1] \} $
general-topology
connectedness
locally-connected
Homotopy equivalence induces bijection between path components
algebraic-topology
homotopy-theory
connectedness
Any ball is connected?
general-topology
metric-spaces
compactness
connectedness
A zero-dimensional Hausdorff space is totally disconnected
general-topology
connectedness
Degree sequence of connected graphs
graph-theory
connectedness
Proof that $U(n)$ is connected
general-topology
group-theory
matrices
lie-groups
connectedness
Are matrices which yield a given characteristic polynomial and have specified structure connected?
linear-algebra
general-topology
matrices
polynomials
connectedness
Is $\mathbb{Q} \times \mathbb{Q} \cup \mathbb{I} \times \mathbb{I}$ disconnected?
general-topology
connectedness
Connected open subsets in $\mathbb{R}^2$ are path connected.
general-topology
proof-verification
connectedness
Connected subsets of set
real-analysis
real-numbers
connectedness
Weakly Connected Graphs
graph-theory
connectedness
Is every metric space a subspace of some connected metric space?
general-topology
metric-spaces
connectedness
How to prove this result involving the quotient maps and connectedness?
general-topology
connectedness
40 Vertices And A Connected Graph, Minimum Number Of Edges?
combinatorics
graph-theory
connectedness
Image of a connected space under a continuous map is connected, proof
general-topology
continuity
proof-explanation
connectedness
The fiber of a covering space over a connected space has constant cardinality [duplicate]
algebraic-topology
connectedness
covering-spaces
Connected and locally path connected
general-topology
connectedness
Is It Always Possible to Cross a Surface Exactly Once?
general-topology
manifolds
connectedness
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