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# Floor Function

TOPO-FZQR15

For which of the topologies on $\mathbb R$ is the floor function $\lfloor\cdot\rfloor:\mathbb R\rightarrow\mathbb Z$ continuous? Assume $\mathbb Z$ has the discrete topology. Select ALL that apply.

A

The discrete topology.

B

The standard topology.

C

The indiscrete topology.

D

The lower limit topology.