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Publication List

Peer-reviewed articles

[1]		V. Gutev, Continuous selections and finite-dimensional sets in collectionwise normal spaces, C. R. Acad. Bulgare Sci. 39 (1986), no. 5, 9–12. (Mathematical Reviews, Zentralblatt MATH)
[2]		V. Gutev, Unified selection and factorization theorems, C. R. Acad. Bulgare Sci. 40 (1987), no. 5, 13–15. (Mathematical Reviews, Zentralblatt MATH)
[3]		V. Gutev, Set-valued continuous selections, C. R. Acad. Bulgare Sci. 40 (1987), no. 6, 9–11. (Mathematical Reviews, Zentralblatt MATH)
[4]		V. Gutev and V. Valov, Selection theorems for AE(n)-spaces, C. R. Acad. Bulgare Sci. 41 (1988), no. 5, 11–12. (Mathematical Reviews, Zentralblatt MATH)
[5]		V. Gutev, S. Nedev, J. Pelant and V. Valov, Cantor set selectors, Topology Appl. 44 (1992), no. 1-3, 163–166. (Mathematical Reviews, Zentralblatt MATH)
[6]		V. Gutev, Selection theorems under an assumption weaker than lower semi-continuity, Topology Appl. 50 (1993), no. 2, 129–138. (Mathematical Reviews, Zentralblatt MATH)
[7]		V. Gutev, Open mappings looking like projections, Set-Valued Analysis 1 (1993), no. 3, 247–260. (Mathematical Reviews, Zentralblatt MATH)
[8]		V. Gutev, Selections for quasi-l.s.c. mappings with uniformly equi-LCⁿ range, Set-Valued Analysis 1 (1993), no. 4, 319–328. (Mathematical Reviews, Zentralblatt MATH)
[9]		V. Gutev and V. Valov, Classical-type characterizations of non-metrizable ANE(n)-spaces, Fund. Math. 145 (1994), 243–259. (Mathematical Reviews, Zentralblatt MATH)
[10]		V. Gutev, Continuous selection, G_δ-subsets of Banach spaces and usco mappings, Comment. Math. Univ. Carolinae 35 (1994), no. 3, 533-538. (Mathematical Reviews, Zentralblatt MATH)
[11]		V. Gutev, Trivial bundles of spaces of probability measures and countable-dimensionality, Studia Math. 114 (1995), no. 1, 1–11. (Mathematical Reviews, Zentralblatt MATH)
[12]		V. Gutev, A fixed-point theorem for UVⁿ usco mappings, Proc. Amer. Math. Soc. 124 (1996), no. 3, 945–952. (Mathematical Reviews, Zentralblatt MATH)
[13]		V. Gutev, Selections and hyperspace topologies via special metrics, Topology Appl. 70 (1996), no. 2-3, 147–153. (Mathematical Reviews, Zentralblatt MATH)
[14]		V. Gutev, Factorizations of set-valued mappings with separable range, Comment. Math. Univ. Carolinae 37 (1996), no. 4, 809–814. (Mathematical Reviews, Zentralblatt MATH)
[15]		V. Gutev, Extending of homotopies via selections and extending of selections via homotopies, Proceedings of the Eighth Prague Topological Symposium (1996), 128–148 (electronic), Topol. Atlas, North Bay, ON, 1997. (Zentralblatt MATH)
[16]		V. Gutev, Continuous selections for continuous set-valued mappings and finite-dimensional sets, Set-Valued Analysis 6 (1998), 149–170. (Mathematical Reviews, Zentralblatt MATH)
[17]		V. Gutev, Factorizing dimension-like properties of subsets of topological spaces, Acta Math. Hungar. 82(1-2) (1999), 131–142. (Mathematical Reviews, Zentralblatt MATH)
[18]		V. Gutev, A solution to a problem of Teodor Przymusinski, General and Geometric Topology (editor Kazuhiro Kawamura), RIMS Kyoto, 1999, pp. 47–54. (Mathematical Reviews, Zentralblatt MATH)
[19]		V.Gutev, Weak factorizations of continuous set-valued mappings, Topology Appl. 102 (2000), no. 1, 33–51. (Mathematical Reviews, Zentralblatt MATH)
[20]		V. Gutev, Generic extensions of finite-valued u.s.c. selections, Topology Appl. 104 (2000), 101–118. (Mathematical Reviews, Zentralblatt MATH)
[21]		V. Gutev and T. Nogura, Selections for Vietoris-like hyperspace topologies, Proc. London Math. Soc. 80 (2000), no. 3, 235–256. (Mathematical Reviews, Zentralblatt MATH)
[22]		V. Gutev and H. Ohta, Does C-embedding imply C-embedding in the realm of products with a non-discrete metric factor ?, Fund. Math. 163* (2000), 241–265. (Mathematical Reviews, Zentralblatt MATH)
[23]		V. Gutev, An exponential mapping over set-valued mappings, Houston J. Math. 26 (2000), no. 4, 721–739. (Mathematical Reviews, Zentralblatt MATH)
[24]		V. Gutev and S. Nedev, Continuous selections and reflexive Banach spaces, Proc. Amer. Math. Soc. 129 (2001), 1853–1860. (Mathematical Reviews, Zentralblatt MATH)
[25]		V. Gutev and T. Nogura, Vietoris continuous selections and disconnectedness-like properties, Proc. Amer. Math. Soc. 129 (2001), 2809–2815. (Mathematical Reviews, Zentralblatt MATH)
[26]		V. Gutev and T. Nogura, Selections and order-like relations, Applied General Topology 2 (2001), no. 2, 205–218. (Mathematical Reviews, Zentralblatt MATH)
[27]		V. Gutev and V. Valov, Continuous selections and C-spaces, Proc. Amer. Math. Soc. 130 (2002), 233-242. (Mathematical Reviews, Zentralblatt MATH)
[28]		V. Gutev, Fell-continuous selections and topologically well-orderable spaces II, Proceedings of the Ninth Prague Topological Symposium (2001), 157–163 (electronic), Topol. Atlas, North Bay, ON, 2002. (Mathematical Reviews, Zentralblatt MATH)
[29]		C. Costantini and V. Gutev, Recognizing special metrics by topological properties of the “metric”-proximal hyperspace, Tsukuba J. Math. 26 (2002), no. 1, 145–169. (Mathematical Reviews, Zentralblatt MATH)
[30]		S. García-Ferreira, V. Gutev, T. Nogura, M. Sanchis and A. Tomita, Extreme selections for hyperspaces of topological spaces, Topology Appl. 122 (2002), 157–181. (Mathematical Reviews, Zentralblatt MATH)
[31]		V. Gutev, Extending of selections via homotopies, JP Jour. Geometry & Topology 2 (2002), no. 2, 117–140. (Mathematical Reviews, Zentralblatt MATH)
[32]		V. Gutev, H. Ohta and K. Yamazaki, Selections and sandwich-like properties via semi-continuous Banach-valued functions, J. Math. Soc. Japan 55 (2003), no. 2, 499–521. (Mathematical Reviews, Zentralblatt MATH)
[33]		V. Gutev and V. Valov, Dense families of selections and finite-dimensional spaces, Set-Valued Analysis 11 (2003), no. 4, 373–391. (Mathematical Reviews, Zentralblatt MATH)
[34]		V. Gutev and T. Nogura, Some problems on selections for hyperspace topologies, Applied General Topology 5 (2004), no. 1, 71–78. (Mathematical Reviews, Zentralblatt MATH)
[35]		V. Gutev and T. Nogura, Fell continuous selections and topologically well-orderable spaces, Mathematika 51 (2004), no. 1-2, 163–169.
[36]		V. Gutev and T. Nogura, Selection pointwise-maximal spaces, Topology Appl. 146/147 (2005), 397–408. (Mathematical Reviews, Zentralblatt MATH)
[37]		V. Gutev, Selections and approximations in finite-dimensional spaces, Topology Appl. 146/147 (2005), 353–383. (Mathematical Reviews, Zentralblatt MATH)
[38]		V. Gutev and T. Nogura, A topology generated by selections, Topology Appl. 153 (2005), no. 5-6, 900-911.
[39]		V. Gutev, H. Ohta and K. Yamazaki, Extensions by means of expansions and selections, Set-Valued Analysis 14 (2006), no.1, 69-104.
[40]		V. Gutev, Preface: Regional KZN Conference "Topology and Analysis in Applications", 12-16 July 2004, Durban, Topology Appl. 153 (2006), 3219.
[41]		V. Gutev, Approaching points by continuous selections, J. Math. Soc. Japan 58 (2006), no. 17, 1203-1210.
[42]		J. Cao, S. García-Ferreira and V. Gutev, Baire spaces and Vietoris hyperspaces, Proc. Amer. Math. Soc. 135 (2007), no. 1, 299-303.
[43]		V. Gutev and A. Tomita, Selections generating new topologies, Publ. Mat. 51 (2007), no. 1, 3-15.
[44]		V. Gutev and T. Nogura, Selection Problems for Hyperspaces, in Open Problems in Topology 2 (Elliott Pearl, ed.), Elsevier BV., Amsterdam, 2007, pp. 161-170.
[45]		V. Gutev, Completeness, sections and selections, Set-Valued Analysis 15 (2007), 275-295.
[46]		V. Gutev, Weak orderability of second countable spaces, Fund. Math. 196 (2007), no. 3, 275-287.
[47]		V. Gutev, Selections and topological convexity, Topology Appl. 155 (2008), no. 8, 814-823.
[48]		V. Gutev and T. Nogura, Selections and totally disconnected spaces, Topology Appl. 155 (2008), no. 8, 824-829.
[49]		V. Gutev and T. Nogura, Weak selections and flows in networks. Comment. Math. Univ. Carolin. 49 (2008), no.3, 509-517.
[50]		J. Cao, S. García-Ferreira and V. Gutev, Erratum to "Baire spaces and Vietoris hyperspaces'', Proc. Amer. Math. Soc. 136 (2008) , 3729-3731. .
[51]		V. Gutev, Orderability in the presence of local compactness, J. Math. Soc. Japan 60 (2008), no. 3, 741-766.
[52]		S. García-Ferreira, V. Gutev and T. Nogura, Extensions of 2-point selections, New Zealand J. Math. 38 (2008), 1–8.
[53]		S. García-Ferreira and V. Gutev, Baire Property and web-adjacent spaces, Houston J. Math. 35 (2009), 857–875.
[54]		V. Gutev, Ordinals and set-valued zero-selections for hyperspaces, Topology Appl. 156 (2009), 1172–1176.
[55]		V. Gutev and V. Valov, Open maps having the Bula property, Fund. Math. 205 (2009), 91–104.
[56]		V. Gutev and V. Valov, Sections, selections and Prohorov’s theorem, J. Math. Anal. Appl. 360 (2009), 377–379.
[57]		V. Gutev and T. Nogura, Set-maximal selections, Topology Appl. 157 (2010), 53–61.
[58]		V. Gutev, Selections and hyperspaces of finite sets, Topology Appl. 157 (2010), 83–89.
[59]		V. Gutev, Weak selections and weak orderability of function spaces, Czech. Math. J. 60 (2010), 273–281.
[60]		V. Gutev and T. Nogura, Weak orderability of topological spaces, Topology Appl. 157 (2010), 1249–1274.
[61]		V. Gutev and T. Yamauchi, Strong paracompactness and multiselections, Topology Appl. 157 (2010), 1430–1438.
[62]		V. Gutev and N. R. L. Makala, Sections, extensions and collectionwise normality, J. Math. Anal. Appl. 368 (2010), 573–577.

Other Publications

[1]		V. Gutev, Continuous selections between set-valued mappings, International Conference on Topology, 24–29 September, 1990, Varna, Bulgaria, p. 24.
[2]		V. Gutev, An exponential mapping over set-valued mappings, General Topology Symposium, 16–18 December, 1997, Shimane University, pp. 82–85.
[3]		V. Gutev, Selections and hyperspace topologies, Topology Atlas Invited Contributions, vol. 5, issue 1 (2000), 29–33.

Unpublished Manuscripts

[1]		V. Gutev, Continuity of the modulus of continuity, 1994, 4 pages. (a solution to a problem of D. Repovs and P. Semenov); preprint
[2]		V. Gutev, Selections and continuity-like set-valued mappings, 1996, 101 pages. (a survey presented at the 8th Toposym, 1996, Prague, Czech Republic); preprint ; preprint (smaller size)
[3]		V. Gutev, Selections of set-valued mappings and hyperspace topologies, 1997, 36 pages (a survey on semi-continuous selections containing 59 open questions)

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