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The desired result appears in M.H.A. Newman's classic book, Elements of the Topology of Plane Sets of Points (2nd ed., 1951), as Theorem 14.5 in Chapter VI, on pg. 164:

Theorem 14.5: Every simple arc in $X^2$ is an arc of a simple closed curve in $X^2$.

$X^2$ is Newman's notation for a space that is either the "open" plane, $R^2$, or the "closed" plane, $R^2 \cup \{\infty\}$.

N.B. The proof of Theorem 14.5 does not involve Schoenflies' Theorem.

The desired result appears in M.H.A. Newman's classic book, Elements of the Topology of Plane Sets of Points (2nd ed., 1951), as Theorem 14.5 in Chapter VI, on pg. 164:

Theorem 14.5: Every simple arc in $X^2$ is an arc of a simple closed curve in $X^2$.

$X^2$ is Newman's notation for a space that is either the "open" plane, $R^2$, or the "closed" plane, $R^2 \cup \{\infty\}$.

N.B. The proof of Theorem 14.5 does not involve Schoenflies' Theorem. Also, Newman's definition of an arc is such that it has ends.

The desired result appears in M.H.A. Newman's classic book, Elements of the Topology of Plane Sets of Points (2nd ed., 1951), as Theorem 14.5 in Chapter VI, on pg. 164:

Theorem 14.5: Every simple arc in $X^2$ is an arc of a simple closed curve in $X^2$.

$X^2$ is Newman's notation for a space that is either the "open" plane, $R^2$, or the "closed" plane", $R^2 \cup \{\infty\}$.

N.B. The proof of Theorem 14.5 does not involve Schoenflies' Theorem.

The desired result appears in M.H.A. Newman's classic book, Elements of the Topology of Plane Sets of Points (2nd ed., 1951), as Theorem 14.5 in Chapter VI, on pg. 164:

Theorem 14.5: Every simple arc in $X^2$ is an arc of a simple closed curve in $X^2$.

$X^2$ is Newman's notation for a space that is either the "open" plane, $R^2$, or the "closed" plane, $R^2 \cup \{\infty\}$.

N.B. The proof of Theorem 14.5 does not involve Schoenflies' Theorem.

The desired result appears in M.H.A. Newman's classic book, Elements of the Topology of Plane Sets of Points (2nd ed., 1951), as Theorem 14.5 in Chapter VI, on pg. 164:

Theorem 14.5: Every simple arc in $X^2$ is an arc of a simple closed curve in $X^2$.

$X^2$ is Newman's notation for a space that is either the "open" plane, $R^2$, or the "closed" plane", $R^2 \cup \{\infty\}$.

The desired result appears in M.H.A. Newman's classic book, Elements of the Topology of Plane Sets of Points (2nd ed., 1951), as Theorem 14.5 in Chapter VI, on pg. 164:

Theorem 14.5: Every simple arc in $X^2$ is an arc of a simple closed curve in $X^2$.

$X^2$ is Newman's notation for a space that is either the "open" plane, $R^2$, or the "closed" plane", $R^2 \cup \{\infty\}$.

N.B. The proof of Theorem 14.5 does not involve Schoenflies' Theorem.