Splitting $S^{4}$ on $\textbf {R}P^{2}$ via the branched cover of $\textbf {C}P^{2}$ over $S^{4}$
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- by Terry Lawson PDF
- Proc. Amer. Math. Soc. 86 (1982), 328-330 Request permission
Abstract:
The four sphere decomposes as a twisted double ${N_2}{ \cup _f}{N_2}$, where ${N_2}$ is the $2$-disk bundle over the real projective plane with Euler number 2. In this note the relationship of this splitting to the double branched cover of the complex projective plane over the four sphere as the quotient space under complex conjugation is made explicit.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 328-330
- MSC: Primary 57M12
- DOI: https://doi.org/10.1090/S0002-9939-1982-0667299-7
- MathSciNet review: 667299