## 282 Citations

### Immersions of spheres and algebraically constructible functions

- Mathematics
- 2007

Let Λ be an algebraic set and let $${g\colon \mathbb {R}^{n+1} \times \Lambda \longrightarrow \mathbb {R}^{2n}}$$ (n is even) be a polynomial mapping such that for each $${\lambda\in \Lambda}$$ there…

### The Golden Age of Immersion Theory in Topology: 1959-1973

- Mathematics
- 2003

We briefly review selected contributions to immersion-theoretic topology, from S. Smale's immersion theory for spheres to M. Gromov's convex integration theory, during the early "golden" period from…

### Fibration structure for Gromov h-principle

- Mathematics
- 2021

The h-principle is a powerful tool for obtaining solutions to partial differential inequalities and partial differential equations. Gromov discovered the h-principle for the general partial…

### Immersions of open Riemann surfaces into the Riemann sphere

- Mathematics
- 2019

In this paper we show that the space of holomorphic immersions from any given open Riemann surface into the Riemann sphere is weakly homotopy equivalent to the space of continuous maps from to the…

### Konzepte der abstrakten Ergodentheorie. Zweiter Teil: Sensitive Cantor-Systeme

- Mathematics
- 2009

In the first part of our generalized ergodic theory we introduced Cantor-systems, when we managed to prove the generalized ergodic theorem 3.3. The first component of a Cantor-system is a group of…

### A geometric classification of immersions of 3-manifolds into 5-space

- Mathematics
- 2005

Abstract.In this paper we define two regular homotopy invariants c and i for immersions of oriented 3-manifolds into ℝ5 in a geometric manner. The pair (c(f), i(f)) completely describes the regular…

### Three applications of delooping to h-principles

- MathematicsGeometriae Dedicata
- 2018

In this paper we give three applications of a method to prove h-principles on closed manifolds. Under weaker conditions this method proves a homological h-principle, under stronger conditions it…

### On certain complex surface singularities

- Mathematics
- 2018

The thesis deals with holomorphic germs $ \Phi: (\mathbb{C}^2, 0) \to (\mathbb{C}^3,0) $ singular only at the origin, with a special emphasis on the distinguished class of finitely determined germs.…

### Topology of the space of locally convex curves on the 3-sphere

- Mathematics
- 2016

A (positive) locally convex curve in the 2-sphere is a curve with positive geodesic curvature (i.e., which always turns left). In the 3-sphere, it is a curve with positive torsion. In this work we…

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### HIRSCH, O n immersions and regular homotopies of diferentiable manifolds, Abstract

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