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Suborderable space, orderable characterization proof doubt

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#general-topology #order-theory #order-topology
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Topology on the set of ordinal numbers

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#general-topology #ordinals #order-topology
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Order topology vs Subspace topology

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#general-topology #order-topology
187
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Refrence for order topology

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#general-topology #reference-request #order-topology
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Is this proof for Theorem 16.4 Munkres Topology correct?

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#general-topology #proof-verification #order-topology
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Are the order topology on the natural numbers and the discrete topology equivalent?

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#general-topology #order-topology
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Claim $(\mathbb{N}, \leq)$ is a discrete space, but is $(-\infty, b)$ a subbasic element?

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#general-topology #elementary-number-theory #proof-explanation #order-topology
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Is the unit square with dictionary ordering second countable?

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#general-topology #proof-verification #order-topology
329
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The range of a continuous function on the order topology is convex

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#calculus #general-topology #order-topology
258
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Continuous surjective function from $[0,1] \rightarrow$ lexicographical order

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#general-topology #continuity #order-topology
496
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Homeomorphism between evenly spaced integer topology and the rationals

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#general-topology #order-topology
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Subspace topology and order topology

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#general-topology #order-topology
1.1k
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Subspace topology and order topology (2)

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#general-topology #order-topology
357
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Convexity implies the equivalence of order and subspace topologies

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#general-topology #order-topology
393
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Order topology neighborhood

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#general-topology #order-topology

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