1. |
Mitsunobu Tsutaya, Characterizations of homotopy fiber inclusion, Homotopy Theory Symposium, 2019.11. |

2. |
Mitsunobu Tsutaya, A_{n}-maps and mapping spaces, Mapping Spaces in Algebraic Topology, 2018.08, An-maps are morphisms between An-spaces introduced by Sugawara, Stasheff, Boardman-Vogt and Iwase. Sugawara, Stasheff and Iwase characterised the condition when a map between An-spaces admits an An-map structure in terms of projective spaces. In this talk, we see that a refinement of this result is realised as a weak homotopy equivalence between the space of An-maps An(G,H) and the space of based maps Map∗(BnG,BH) from the n-th projective space BnG to the classifying space BH. We also see some applications of this results to extension of an evaluation fibration and homotopy commutativity.. |

3. |
Mitsunobu Tsutaya, Mapping spaces from projective spaces, International Conference on Manifolds, Groups and Homotopy, 2018.06. |

4. |
Mitsunobu Tsutaya, Homotopy theoretic classifications of gauge groups, Young Researchers in Homotopy Theory and Toric Topology 2017, 2017.08. |

5. |
Mitsunobu Tsutaya, Infiniteness of A∞-types of gauge groups, Friday's Topology Seminar, 2017.02. |

6. |
Mitsunobu Tsutaya, Higher homotopy commutativity in localized Lie groups and gauge groups, Topology & Malaga Meeting, 2017.02. |

7. |
The A_n-structure (n=1,2,...,∞) of a topological group describes certain higher homotopy structure concerned with its binary operation. It has some relation with a generalization of projective spaces and homotopy invariants such as LS-category. The notion. |