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New posts in nets
Why should the generalization of a 'sequence' be called a 'net'?
general-topology
soft-question
terminology
intuition
nets
Lifting a convergent net through a quotient map
general-topology
examples-counterexamples
quotient-spaces
nets
Nets and Convergence: Why directed indices?
general-topology
nets
Every net has an ultranet as subnet: direct proof
general-topology
filters
nets
Nets and compactness in topological spaces.
general-topology
convergence-divergence
compactness
nets
Does every net in $\mathbb{C}$ converging to $0$, have a countable subnet?
convergence-divergence
nets
In a compact space, every net has a convergent subnet
general-topology
compactness
nets
Why are nets not used more in the teaching of point-set topology?
general-topology
soft-question
nets
Why were filters and nets in topology named filters and nets?
general-topology
soft-question
terminology
filters
nets
Nets - preoredered sets or posets?
general-topology
order-theory
nets
A bounded net with a unique limit point must be convergent
general-topology
limits
convergence-divergence
compactness
nets
A net converges to a point iff every subnet accumulates in that point. [duplicate]
general-topology
convergence-divergence
solution-verification
nets
Subnets and finer filters
general-topology
filters
nets
How can I think about a net in topology? [duplicate]
general-topology
soft-question
intuition
order-theory
nets
Filters vs nets in topology
general-topology
filters
nets
Every subnet of $(x_d)_{d\in D}$ has a subnet which converges to $a$. Does $(x_d)_{d\in D}$ converge to $a$?
general-topology
nets
Net convergence over product and box topology
general-topology
product-space
nets
box-topology
$3$ equivalent definitions of compactness
general-topology
solution-verification
compactness
nets
$f$ is continuous if and only if, $f(x_d) \to f(x)$ where $(x_d)_{d \in D}$ is a net such that $x_d \to x$
general-topology
continuity
solution-verification
nets
$\overline A$ is the set of limits of convergent nets with values in $A$
general-topology
solution-verification
nets
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