36 citations · 51 across the 19 of their papers we have counts for
20 papers
A closed manifold is a fat CW complex
Norio Iwase, Yuki Kojima
The main purpose of this paper is to introduce a new smooth version of a CW complex named a fat CW complex, and to show that it includes all closed manifolds, because existing smoo…
Lusternik-Schnirelmann theory to Topological Complexity from -view point
Norio Iwase
We are trying to look over the Lusternik-Schnirelmann theory (L-S theory, for short) and the Topological Complexity (TC, for short) as a natural extension of the L-S theory. In par…
Topological Complexity of as fibrewise L-S category
Norio Iwase, Yuya Miyata
In 2010, M. Sakai and the first author showed that the topological complexity of a space coincides with the fibrewise unpointed L-S category of a pointed fibrewise space $\oper…
Smooth form on a diffeological loop space
Norio Iwase
To construct an -form for a loop space in the category of diffeological spaces, we have two minor problems. Firstly, the concatenation of paths in the category of diffe…
Whitney Approximation for Smooth CW Complex
Norio Iwase
We show a Whitney Approximation Theorem for a continuous map from a manifold to a smooth CW complex. This enables us to show that a topological CW complex is homotopy equivalent to…
A short proof for tc(K) = 4
Norio Iwase, Michihiro Sakai, Mitsunobu Tsutaya
We show a method to determine topological complexity from the fibrewise view point, which provides an alternative proof for tc(K) = 4, where K denotes Klein bottle.