The Kline 2-sphere characterization—by definition

The Kline 2-sphere characterization—by definition
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by Richard Slocum PDF

Proc. Amer. Math. Soc. 48 (1975), 491-498 Request permission

Brick partitionings are used repeatedly to prove, by definition, the classical Kline $2$-sphere characterization.

References

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R. H. Bing, Complementary domains of continuous curves, Fund. Math. 36 (1949), 303–318. MR 38063, DOI 10.4064/fm-36-1-303-318
Richard Slocum, Using brick partitionings to establish conditions which insure that a Peano continuum is a $2$-cell, a $2$-sphere or an annulus, Pacific J. Math. 42 (1972), 763–775. MR 321036
Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, Vol. 32, American Mathematical Society, New York, N. Y., 1949. MR 0029491
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