September 27, 2016
1:50PM - 2:50PM
Cockins Hall 240
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2016-09-27 13:50:00
2016-09-27 14:50:00
Logic Seminar - Athipat Thamrongthanyalak
Title: Michael's selection theorem in d-minimal expansions of the real fieldSpeaker: Athipat Thamrongthanyalak (The Ohio State University)Abstract: In 1956, E. Michael gave a sufficient condition for the existence of continuous selections of set-valued maps. The construction involves an infinitary process. Therefore, this construction may produce a selection with infinite oscillation even when the set-valued map is a polygon (as a set). This gives rise to the question: If a set-valued map is well-behaved in some prescribed sense, can we find a continuous selection that is similarly well-behaved? In this talk, we give a positive answer to this question in d-minimal expansions of the real field.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2016-09-27 13:50:00
2016-09-27 14:50:00
Logic Seminar - Athipat Thamrongthanyalak
Title: Michael's selection theorem in d-minimal expansions of the real fieldSpeaker: Athipat Thamrongthanyalak (The Ohio State University)Abstract: In 1956, E. Michael gave a sufficient condition for the existence of continuous selections of set-valued maps. The construction involves an infinitary process. Therefore, this construction may produce a selection with infinite oscillation even when the set-valued map is a polygon (as a set). This gives rise to the question: If a set-valued map is well-behaved in some prescribed sense, can we find a continuous selection that is similarly well-behaved? In this talk, we give a positive answer to this question in d-minimal expansions of the real field.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Michael's selection theorem in d-minimal expansions of the real field
Speaker: Athipat Thamrongthanyalak (The Ohio State University)
Abstract: In 1956, E. Michael gave a sufficient condition for the existence of continuous selections of set-valued maps. The construction involves an infinitary process. Therefore, this construction may produce a selection with infinite oscillation even when the set-valued map is a polygon (as a set). This gives rise to the question: If a set-valued map is well-behaved in some prescribed sense, can we find a continuous selection that is similarly well-behaved? In this talk, we give a positive answer to this question in d-minimal expansions of the real field.
