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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 26th 2010
   • (edited May 26th 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[path space object]] an Examples-section with some model category-theoretic discussion, leading up to the statement that in a simplicial model category for fibrant $X$ the powering $X^{\Delta[1]}$ is always a path space object.

   added to path space object an Examples-section with some model category-theoretic discussion, leading up to the statement that in a simplicial model category for fibrant $X$ the powering $X^{\Delta[1]}$ is always a path space object.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 26th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added mentioning of "very good" path space objects, together with a pointer to where Dwyer & Spalinski define this. While I was at it, I have slightly expanded and streamlined the Definition-section ([here](https://ncatlab.org/nlab/show/path+space+object#Definition)). <a href="https://ncatlab.org/nlab/revision/diff/path+space+object/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/path+space+object/22">v22</a>, <a href="https://ncatlab.org/nlab/show/path+space+object">current</a>

   I have added mentioning of “very good” path space objects, together with a pointer to where Dwyer & Spalinski define this.

   While I was at it, I have slightly expanded and streamlined the Definition-section (here).

   diff, v22, current