ε-retracts, Q-manifolds, and fixed points. / Chernikov, Pavel V.
In: Mathematical Notes of NEFU, Vol. 26, No. 3, 01.01.2019, p. 90-97.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - ε-retracts, Q-manifolds, and fixed points
AU - Chernikov, Pavel V.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - A generalization of one of the Noguchi fixed point theorems is presented. We prove that there exists a compact noncollapsible acyclic Q-manifold with the fixed point property. A topological space with the fixed point σ-property is introduced and studied and an example of a noncompact set in R2 with the fixed point property is given.
AB - A generalization of one of the Noguchi fixed point theorems is presented. We prove that there exists a compact noncollapsible acyclic Q-manifold with the fixed point property. A topological space with the fixed point σ-property is introduced and studied and an example of a noncompact set in R2 with the fixed point property is given.
KW - Fixed point
KW - Q-manifold
KW - ε-retract
UR - http://www.scopus.com/inward/record.url?scp=85074663116&partnerID=8YFLogxK
U2 - 10.25587/SVFU.2019.89.45.007
DO - 10.25587/SVFU.2019.89.45.007
M3 - Article
AN - SCOPUS:85074663116
VL - 26
SP - 90
EP - 97
JO - Математические заметки СВФУ
JF - Математические заметки СВФУ
SN - 2411-9326
IS - 3
ER -
ID: 22447204