Extensions of immersions of surfaces into $\mathbb{R}^{3}$
Bojun Zhao
Abstract
Open-access reader
Bojun Zhao
Abstract
Open-access reader
This paper is to study the $\mathbb{R}^{3}$ case of \hyperref[Zhao]{[9]}. We determine all equivalence classes of immersed $3$-manifolds bounded by an arbitrary immersed surface in $\mathbb{R}^{3}$.
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This paper is to study the $\mathbb{R}^{3}$ case of \hyperref[Zhao]{[9]}. We determine all equivalence classes of immersed $3$-manifolds bounded by an arbitrary immersed surface in $\mathbb{R}^{3}$.
Key concepts: Bounded function, Equivalence (formal languages), Mathematics, Surface (topology), Pure mathematics, Combinatorics, Geometry, Mathematical analysis