2019arXiv (Cornell University)Open access

Extensions of immersions of surfaces into $\mathbb{R}^{3}$

Bojun Zhao

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Abstract

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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What this paper is about

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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Available abstract

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

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