On Hopf multiplications on the wedge of two spaces

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On Hopf multiplications on the wedge of two spaces Chao, Frances Yen-Yen

Abstract

In this thesis we show that it is impossible to define a Hopf multiplication on the wedge X V Y of a connected finite CW-complex X with an arbitrary connected CW-complex Y, provided neither X nor Y homotopy equivalent to a point. We also show by an example, that the above is no longer true, if one does not require that X is a finite CW-complex.

Item Metadata

Title	On Hopf multiplications on the wedge of two spaces
Creator	Chao, Frances Yen-Yen
Publisher	University of British Columbia
Date Issued	1973
Description	In this thesis we show that it is impossible to define a Hopf multiplication on the wedge X V Y of a connected finite CW-complex X with an arbitrary connected CW-complex Y, provided neither X nor Y homotopy equivalent to a point. We also show by an example, that the above is no longer true, if one does not require that X is a finite CW-complex.
Genre	Thesis/Dissertation
Type	Text
Language	eng
Date Available	2011-03-29
Provider	Vancouver : University of British Columbia Library
Rights	For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
DOI	10.14288/1.0080445
URI	http://hdl.handle.net/2429/33037
Degree	Master of Science - MSc
Program	Mathematics
Affiliation	Science, Faculty of; Mathematics, Department of
Degree Grantor	University of British Columbia
Campus	UBCV
Scholarly Level	Graduate
Aggregated Source Repository	DSpace

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UBC_1973_A6_7 C43.pdf -- 1.34MB

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For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.