Publications of Brian J. Day

[Thesis1] Relationship of Spanier's Quasi-topological Spaces to k-Spaces (Master of Science Thesis, University of Sydney, 1968) http://www.math.mq.edu.au/~street/DayMasters.pdf.

[Thesis2] Construction of Biclosed Categories (PhD Thesis, University of New South Wales, 1970) http://www.math.mq.edu.au/~street/DayPhD.pdf.

[1] Day, B. J.; Kelly, G. M. On topologically quotient maps preserved by pullbacks or products. Proc. Cambridge Philos. Soc. 67 1970 553--558.

[2] Day, B. J.; Kelly, G. M. Enriched functor categories. 1969 Reports of the Midwest Category Seminar, III pp. 178--191 Springer, Berlin.

[3] Day, Brian. On closed categories of functors. 1970 Reports of the Midwest Category Seminar, IV pp. 1--38 Lecture Notes in Mathematics, Vol. 137 Springer, Berlin

[4] Day, Brian. A reflection theorem for closed categories. J. Pure Appl. Algebra 2 (1972), no. 1, 1--11.

[5] Day, Brian. Note on monoidal localisation. Bull. Austral. Math. Soc. 8 (1973), 1--16.

[6] Day, Brian. On adjoint-functor factorisation. Category Seminar (Proc. Sem., Sydney, 1972/1973), pp. 1--19. Lecture Notes in Math., Vol. 420, Springer, Berlin, 1974.

[7] Day, Brian. On closed categories of functors. II. Category Seminar (Proc. Sem., Sydney, 1972/1973), pp. 20--54. Lecture Notes in Math., Vol. 420, Springer, Berlin, 1974.

[8] Day, Brian. An embedding theorem for closed categories. Category Seminar (Proc. Sem., Sydney, 1972/1973), pp. 55--64. Lecture Notes in Math., Vol. 420, Springer, Berlin, 1974.

[9] Day, Brian. Limit spaces and closed span categories. Category Seminar (Proc. Sem., Sydney, 1972/1973), pp. 65--74. Lecture Notes in Math., Vol. 420, Springer, Berlin, 1974.

[10] Day, B. J. An adjoint-functor theorem over topoi. Bull. Austral. Math. Soc. 15 (1976), no. 3, 381--394.

[11] Day, B. J. Varieties of a closed category. Bull. Austral. Math. Soc. 16 (1977), no. 1, 131--145.

[12] Borceux, Francis; Day, B. J. On product-preserving Kan extensions. Bull. Austral. Math. Soc. 17 (1977), no. 2, 247--255.

[13] Day, B. J. Linear monads. Bull. Austral. Math. Soc. 17 (1977), no. 2, 177--192.

[14] Borceux, Francis; Day, B. J. A monadicity theorem. Bull. Austral. Math. Soc. 17 (1977), no. 2, 291--296.

[15] Day, B. J. Note on compact closed categories. J. Austral. Math. Soc. Ser. A 24 (1977), no. 3, 309--311.

[16] Borceux, Francis; Day, B. J. On characterisation of finitary algebraic categories. Bull. Austral. Math. Soc. 18 (1978), no. 1, 125--135.

[17] Day, B. J. Density presentations of functors. Bull. Austral. Math. Soc. 16 (1977), no. 3, 427--448.

[18] Day, B. J. Note on monoidal monads. J. Austral. Math. Soc. Ser. A 23 (1977), no. 3, 292--311.

[19] Day, B. J. Promonoidal functor categories. J. Austral. Math. Soc. Ser. A 23 (1977), no. 3, 312--328.

[20] Day, B. J. Duality in topological algebra. Bull. Austral. Math. Soc. 18 (1978), no. 3, 475--480.

[21] Day, B. J. Addendum: "Duality in topological algebra" (Bull. Austral. Math. Soc. 18 (1978), no. 3, 475--480). Bull. Austral. Math. Soc. 19 (1978), no. 1, 157--158.

[22] Day, B. J.; Laplaza, M. L. On embedding closed categories. Bull. Austral. Math. Soc. 18 (1978), no. 3, 357--371.

[23] Day, Brian J. Varieties of an enriched category. Cahiers Topologie Géom. Différentielle 19 (1978), no. 2, 169--177.

[24] Day, B. J. On injective profinite algebras. Bull. Austral. Math. Soc. 19 (1978), no. 3, 329--331.

[25] Day, B. J. On Pontryagin duality. Glasgow Math. J. 20 (1979), no. 1, 15--25.

[26] Day, B. J. Note on duality of Kellyspace products. Bull. Austral. Math. Soc. 19 (1978), no. 2, 273--275.

[27] Day, B. J. On profiniteness of compact totally disconnected algebras. Bull. Austral. Math. Soc. 20 (1979), no. 1, 71--76.

[28] Day, B. J. An extension of Pontryagin duality. Bull. Austral. Math. Soc. 19 (1978), no. 3, 445--456.

[29] Day, Brian J. On topological modules and duality. Cahiers Topologie Géom. Différentielle 20 (1979), no. 3, 297--310.

[30] Day, B. J. Locale geometry. Pacific J. Math. 83 (1979), no. 2, 333--339.

[31] Day, B. J. Correction to: "Locale geometry" [Pacific J. Math. 83 (1979), no. 2, 333--339; MR 81k:52002]. Pacific J. Math. 91 (1980), no. 2, 487.

[32] Borceux, Francis; Day, Brian. Universal algebra in a closed category. J. Pure Appl. Algebra 16 (1980), no. 2, 133--147.

[33] Day, Brian J. Injective uniform structures. Algebra Universalis 13 (1981), no. 2, 167--170.

[34] Day, Brian J. Gel'fand dualities over topological fields. J. Austral. Math. Soc. Ser. A 32 (1982), no. 2, 171--177.

[35] Day, Brian J. Free finitary algebras on compactly generated spaces. Bull. Austral. Math. Soc. 24 (1981), no. 2, 277--288.

[36] Day, B. J. A note on powers of Hausdorff fields. J. Pure Appl. Algebra 28 (1983), no. 1, 71--73.

[37] Day, B. J. Coproducts of algebras and derivations on categories. Bull. Austral. Math. Soc. 30 (1984), no. 1, 153--156.

[38] Day, B. J. Further criteria for totality. Cahiers Topologie Géom. Différentielle Catég. 28 (1987), no. 1, 77--78.

[39] Day, Brian; Street, Ross. Categories in which all strong generators are dense. J. Pure Appl. Algebra 43 (1986), no. 3, 235--242.

[40] Day, B. J. Onto Gel'fand transformations. Cahiers Topologie Géom. Différentielle Catég. 28 (1987), no. 3, 227--234.

[41] Day, Brian; Street, Ross. Localisation of locally presentable categories. J. Pure Appl. Algebra 58 (1989), no. 3, 227--233.

[42] Day, Brian J. Onto Gel'fand maps: appendix to "Onto Gel'fand transformations" [Cahiers Topologie Géom. Différentielle Catégoriques 28 (1987), no. 3, 227--234; MR 89e:18015]. Cahiers Topologie Géom. Différentielle Catég. 30 (1989), no. 4, 345--347.

[43] Day, Brian; Street, Ross. Localisations of locally presentable categories. II. J. Pure Appl. Algebra 63 (1990), no. 3, 225--229.

[44] Day, Brian; Street, Ross. Kan extensions along promonoidal functors. Theory Appl. Categ. 1 (1995), No. 4, 72--77 (electronic).

[45] Day, Brian J. Enriched Tannaka reconstruction. J. Pure Appl. Algebra 108 (1996), no. 1, 17--22.

[46] Day, Brian; Street, Ross. Monoidal bicategories and Hopf algebroids. Adv. Math. 129 (1997), no. 1, 99--157.

[47] Day, Brian; Street, Ross. Abstract substitution in enriched categories. J. Pure Appl. Algebra 179 (2003), no. 1-2, 49--63.

[48] Day, Brian; Street, Ross. Lax monoids, pseudo-operads, and convolution. Diagrammatic morphisms and applications (San Francisco, CA, 2000), 75--96, Contemp. Math., 318, Amer. Math. Soc., Providence, RI, 2003.

[49] Day, Brian; McCrudden, Paddy; Street, Ross. Dualizations and antipodes, Applied Categorical Structures 11 (2003) 229--260.

[50] Day, Brian; Street, Ross. Quantum categories, star autonomy, and quantum groupoids, in "Galois Theory, Hopf Algebras, and Semiabelian Categories", Fields Institute Communications 43 (American Math. Soc. 2004) 187--226 (preprint pdf or math.CT/0301209).

[51] Day, Brian; Panchadcharam, Elango; Street, Ross. Lax braidings and the lax centre, Contemporary Mathematics 441 (2007) 1--17.

[52] Day, Brian; Street, Ross. Centres of monoidal categories of functors, Categories in algebra, geometry and mathematical physics, Contemporary Mathematics 431 (Amer. Math. Soc., Providence, RI, 2007) 187--202.

[53] Day, Brian; Panchadcharam, Elango; Street, Ross. On centres and lax centres for promonoidal categories, Colloque International "Charles Ehresmann : 100 ans Université de Picardie Jules Verne à Amiens 7-8-9 Octobre 2005".

[54] Day, Brian; Compact convolution. <math.CT/0605463> 4 pages. CT.

[55] Day, Brian; $*$-Autonomous categories in quantum theory. <math.CT/0605037> 5 pages. CT (QA).

[56] Day, Brian; Lack, Stephen. Limits of small functors, Journal of Pure and Applied Algebra 210 (2007) 651--663 <preprint pdf>.

[57] Day, Brian; Monoidal functor categories and graphic Fourier transforms. <math.QA/0612496> 20 pages QA(CT).

[58] Day, Brian; Association schemes and classical RCFTs as “graphic” Fourier transformations. <math.CT/0702208> 4 pages CT(QA).

[59] Day, Brian; Biclosed bicategories: Localisation of convolution. <math.CT/07053485> 4 pages CT.

[60] Day, Brian; Pastro, Craig; On endomorphism algebras of separable monoidal functors. Theory Appl. Categ. 22 (2009) 77--96 (electronic); also <math.CT/07121864> 17 pages CT(QA).

[61] Day, Brian; Pastro, Craig; Note on Frobenius monoidal functors. New York J. Math. 14 (2008) 733–742.

[62] Day, Brian; A *-autonomous category of Banach spaces—plus Correction, <arXiv:0901.4403> 6 pages.

[63] Day, Brian; Note on the fusion map and Hopf algebras, <arXiv:0902.2259> 4 pages.

[64] Day, Brian; Note on analytic functors as Fourier transforms <arXiv:0906.3330> 3 pages.

[65] Day, Brian; When is existential quantification conservative? <arXiv:0906.4594> 6 pages.

[66] Day, Brian; Pastro, Craig; Note on endomorphism algebras of separable monoidal functors, <arXiv:0907.3259> 3 pages.

[67] Day, Brian; On the existence of category bicompletions, <arXiv:0909.5010> 2 pages.

[68] Day, Brian; Middle-four maps and net categories, <arXiv:0911.5200>.

[69] Day, Brian; On endomorphism bialgebras of functors with non-compact domain, <arXiv:1004.4338>.

[70] Booker, Thomas and Day, Brian; Enriched herds and finite quantum groupoids, <arXiv:1005.2653>.

[71] Day, Brian; A Hall-fusion bialgebra, <arXiv:1009.3065>.