John Guaschi

activity

20042025

most citedThe braid groups of the projective plane

30 citations · 263 across the 34 of their papers we have counts for

collaborators

Showing 2017 · math.GTShow all

3 papers · 2 filters

math.GT2017★ 1 cited

The homotopy fibre of the inclusion $F\_n(M) \lhook\joinrel\longrightarrow \prod\_{1}^{n} M$ for $M$ either $S^{2}$ or $R P^{2}$ and orbit configuration spaces

Daciberg Lima Gonçalves, John Guaschi

Let $n \geq 1$ , and let $ι_n : F_n (M) ⟶ \prod_1^{n} M$ be the natural inclusion of the $n$ th configuration space of $M$ in the $n$ -fold Cartesia…

math.GT2017

Fixed points of n-valued maps, the fixed point property and the case of surfaces -- a braid approach

Daciberg Lima Gonçalves, John Guaschi

We study the fixed point theory of n-valued maps of a space X using the fixed point theory of maps between X and its configuration spaces. We give some general results to decide wh…

math.GT2017

Fixed points of n-valued maps on surfaces and the Wecken property -- a configuration space approach

Daciberg Lima Gonçalves, John Guaschi

In this paper, we explore the fixed point theory of $n$ -valued maps using configuration spaces and braid groups, focussing on two fundamental problems, the Wecken property, and the…

The homotopy fibre of the inclusion $F\_n(M) \lhook\joinrel\longrightarrow \prod\_{1}^{n} M$ for M either S2 orRP2 and orbit configuration spaces

Fixed points of n-valued maps, the fixed point property and the case of surfaces -- a braid approach

Fixed points of n-valued maps on surfaces and the Wecken property -- a configuration space approach

The homotopy fibre of the inclusion $F\_n(M) \lhook\joinrel\longrightarrow \prod\_{1}^{n} M$ for $M$ either $S^{2}$ or $R P^{2}$ and orbit configuration spaces